We prove local in time well-posedness for a large class of quasilinear Hamiltonian, or parity preserving, Schrödinger equations on the circle. After a paralinearization of the equation, we perform several paradifferential changes of coordinates in order to transform the system into a paradifferential one with symbols which, at the positive order, are constant and purely imaginary. This allows to obtain a priori energy estimates on the Sobolev norms of the solutions.

%B Annales de l'Institut Henri Poincaré C, Analyse non linéaire %V 36 %P 119 - 164 %G eng %U http://www.sciencedirect.com/science/article/pii/S0294144918300428 %R https://doi.org/10.1016/j.anihpc.2018.04.003 %0 Report %D 2018 %T Local moduli of semisimple Frobenius coalescent structures %A Giordano Cotti %A Boris Dubrovin %A Davide Guzzetti %XThere is a conjectural relation, formulated by the second author, between the enumerative geometry of a wide class of smooth projective varieties and their derived category of coherent sheaves. In particular, there is an increasing interest for an explicit description of certain local invariants, called monodromy data, of semisimple quantum cohomologies in terms of characteristic classes of exceptional collections in the derived categories. Being intentioned to address this problem, which, to our opinion, is still not well understood, we have realized that some issues in the theory of Frobenius manifolds need to be preliminarily clarified, and that an extension of the theory itself is necessary, in view of the fact that quantum cohomologies of certain classes of homogeneous spaces may show a coalescence phenomenon.

%I SISSA %G en %U http://preprints.sissa.it/handle/1963/35304 %1 35610 %2 Mathematics %4 1 %# MAT/03 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2018-01-16T11:11:03Z No. of bitstreams: 1 Preprint_Davide.pdf: 1242726 bytes, checksum: 527d898383b9f997856370b14965bbdc (MD5) %0 Journal Article %J ArXiv e-prints %D 2018 %T A Localized Reduced-Order Modeling Approach for PDEs with Bifurcating Solutions %A Martin W. Hess %A A. Alla %A Annalisa Quaini %A Gianluigi Rozza %A M. Gunzburger %K Mathematics - Numerical Analysis %B ArXiv e-prints %G eng %0 Report %D 2018 %T Long time existence for fully nonlinear NLS with small Cauchy data on the circle %A Feola Roberto %A Felice Iandoli %G eng %0 Journal Article %J Annales Henri Poincaré %D 2018 %T Lp-Boundedness of Wave Operators for the Three-Dimensional Multi-Centre Point Interaction %A Gianfausto Dell'Antonio %A Alessandro Michelangeli %A Raffaele Scandone %A Kenji Yajima %XWe prove that, for arbitrary centres and strengths, the wave operators for three-dimensional Schrödinger operators with multi-centre local point interactions are bounded in Lp(R3)for 1<p<3 and unbounded otherwise.

%B Annales Henri Poincaré %V 19 %P 283–322 %8 Jan %G eng %U https://doi.org/10.1007/s00023-017-0628-4 %R 10.1007/s00023-017-0628-4 %0 Report %D 2017 %T A Lagrangian approach for scalar multi-d conservation laws %A Stefano Bianchini %A Paolo Bonicatto %A Elio Marconi %G en %U http://preprints.sissa.it/handle/1963/35290 %1 35596 %2 Mathematics %4 1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2017-08-08T08:57:31Z No. of bitstreams: 1 main.pdf: 427188 bytes, checksum: 8ab383e6ab2a6dcbf06a22d007db5dda (MD5) %0 Journal Article %J Contemporary Mathematics. Fundamental Directions %D 2017 %T Lagrangian representations for linear and nonlinear transport %A Stefano Bianchini %A Paolo Bonicatto %A Elio Marconi %XIn this note we present a unifying approach for two classes of first order partial differential equations: we introduce the notion of Lagrangian representation in the settings of continuity equation and scalar conservation laws. This yields, on the one hand, the uniqueness of weak solutions to transport equation driven by a two dimensional BV nearly incompressible vector field. On the other hand, it is proved that the entropy dissipation measure for scalar conservation laws in one space dimension is concentrated on countably many Lipschitz curves.

%B Contemporary Mathematics. Fundamental Directions %I Peoples' Friendship University of Russia %V 63 %P 418–436 %G eng %U http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=cmfd&paperid=327&option_lang=eng %R 10.22363/2413-3639-2017-63-3-418-436 %0 Journal Article %J ESAIM: COCV %D 2017 %T Limit of viscous dynamic processes in delamination as the viscosity and inertia vanish %A Riccardo Scala %XWe introduce a model of dynamic evolution of a delaminated visco-elastic body with viscous adhesive. We prove the existence of solutions of the corresponding system of PDEs and then study the behavior of such solutions when the data of the problem vary slowly. We prove that a rescaled version of the dynamic evolutions converge to a “local” quasistatic evolution, which is an evolution satisfying an energy inequality and a momentum balance at all times. In the one-dimensional case we give a more detailed description of the limit evolution and we show that it behaves in a very similar way to the limit of the solutions of the dynamic model in [T. Roubicek, SIAM J. Math. Anal. 45 (2013) 101–126], where no viscosity in the adhesive is taken into account.

%B ESAIM: COCV %V 23 %P 593-625 %G eng %U https://doi.org/10.1051/cocv/2016006 %R 10.1051/cocv/2016006 %0 Report %D 2017 %T Linear hyperbolic systems in domains with growing cracks %A Maicol Caponi %X We consider the hyperbolic system $\ddot u-{\rm div}\,(\mathbb A\nabla u)=f$ in the time varying cracked domain $\Omega\setminus\Gamma_t$, where the set $\Omega\subset\mathbb R^d$ is open, bounded, and with Lipschitz boundary, the cracks $\Gamma_t$, $t\in[0,T]$, are closed subsets of $\overline\Omega$, increasing with respect to inclusion, and $u(t):\Omega\setminus\Gamma_t\to\mathbb R^d$ for every $t\in[0,T]$. We assume the existence of suitable regular changes of variables, which reduce our problem to the transformed system $\ddot v-{\rm div}\,(\mathbb B\nabla v)+\mathbf a\nabla v -2\nabla\dot vb=g$ on the fixed domain $\Omega\setminus\Gamma_0$. Under these assumptions, we obtain existence and uniqueness of weak solutions for these two problems. Moreover, we show an energy equality for the functions $v$, which allows us to prove a continuous dependence result for both systems. %G en %U http://urania.sissa.it/xmlui/handle/1963/35271 %1 35577 %2 Mathematics %4 1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2017-01-30T11:26:46Z No. of bitstreams: 1 Caponi_LinHypSys.pdf: 432435 bytes, checksum: 3b798b4c79150cf0087bc6176258ffc6 (MD5) %0 Report %D 2017 %T Linearisation of multiwell energies %A Roberto Alicandro %A Gianni Dal Maso %A Giuliano Lazzaroni %A Mariapia Palombaro %X Linear elasticity can be rigorously derived from finite elasticity under the assumption of small loadings in terms of Gamma-convergence. This was first done in the case of one-well energies with super-quadratic growth and later generalised to different settings, in particular to the case of multi-well energies where the distance between the wells is very small (comparable to the size of the load). In this paper we study the case when the distance between the wells is independent of the size of the load. In this context linear elasticity can be derived by adding to the multi-well energy a singular higher order term which penalises jumps from one well to another. The size of the singular term has to satisfy certain scaling assumptions whose optimality is shown in most of the cases. Finally, the derivation of linear elasticty from a two-well discrete model is provided, showing that the role of the singular perturbation term is played in this setting by interactions beyond nearest neighbours. %G en %U http://preprints.sissa.it/handle/1963/35288 %1 35594 %2 Mathematics %4 1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2017-06-22T09:07:10Z No. of bitstreams: 1 ADMLP_linear.pdf: 364014 bytes, checksum: 305b4dcf6f1ee7c09e6747b7378ae58c (MD5) %0 Journal Article %J Advances in Calculus of Variations %D 2017 %T Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation %A Gianni Dal Maso %A Gianluca Orlando %A Rodica Toader %XWe study the lower semicontinuity of some free discontinuity functionals with linear growth defined on the space of functions with bounded deformation. The volume term is convex and depends only on the Euclidean norm of the symmetrized gradient. We introduce a suitable class of surface terms, which make the functional lower semicontinuous with respect to $L^1$ convergence.

%B Advances in Calculus of Variations %I De Gruyter %V 10 %P 183–207 %G eng %R 10.1515/acv-2015-0036 %0 Journal Article %J Journal de Mathématiques Pures et Appliquées %D 2017 %T A lower semicontinuity result for a free discontinuity functional with a boundary term %A Stefano Almi %A Gianni Dal Maso %A Rodica Toader %XWe study the lower semicontinuity in $GSBV^{p}(\Omega;\mathbb{R}^{m})$ of a free discontinuity functional $\mathcal{F}(u)$ that can be written as the sum of a crack term, depending only on the jump set $S_{u}$, and of a boundary term, depending on the trace of $u$ on $\partial\Omega$. We give sufficient conditions on the integrands for the lower semicontinuity of $\mathcal{F}$. Moreover, we prove a relaxation result, which shows that, if these conditions are not satisfied, the lower semicontinuous envelope of $\mathcal{F}$ can be represented by the sum of two integrals on $S_{u}$ and $\partial\Omega$, respectively.

%B Journal de Mathématiques Pures et Appliquées %V 108 %P 952-990 %G en %U http://hdl.handle.net/20.500.11767/15979 %N 6 %1 34731 %2 Mathematics %4 1 %# MAT/05 %$ Submitted by salmi@sissa.it (salmi@sissa.it) on 2015-12-15T14:37:19Z No. of bitstreams: 1 Alm-DM-Toa-15-sissa.pdf: 351559 bytes, checksum: b6adddc4944478676c7d4b34028a347c (MD5) %& 952 %R 10.1016/j.matpur.2017.05.018 %0 Report %D 2016 %T Large KAM tori for perturbations of the dNLS equation %A Massimiliano Berti %A Thomas Kappeler %A Riccardo Montalto %X We prove that small, semi-linear Hamiltonian perturbations of the defocusing nonlinear Schr\"odinger (dNLS) equation on the circle have an abundance of invariant tori of any size and (finite) dimension which support quasi-periodic solutions. When compared with previous results the novelty consists in considering perturbations which do not satisfy any symmetry condition (they may depend on x in an arbitrary way) and need not be analytic. The main difficulty is posed by pairs of almost resonant dNLS frequencies. The proof is based on the integrability of the dNLS equation, in particular the fact that the nonlinear part of the Birkhoff coordinates is one smoothing. We implement a Newton-Nash-Moser iteration scheme to construct the invariant tori. The key point is the reduction of linearized operators, coming up in the iteration scheme, to 2×2 block diagonal ones with constant coefficients together with sharp asymptotic estimates of their eigenvalues. %G en %U http://preprints.sissa.it/handle/1963/35284 %1 35589 %2 Mathematics %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2017-05-30T09:09:35Z No. of bitstreams: 1 1603.09252.pdf: 1306610 bytes, checksum: 1e34137dcb21eb2e2a8e93d0c2d009a3 (MD5) %0 Journal Article %J COMPUTERS & MATHEMATICS WITH APPLICATIONS %D 2016 %T LinearOperator – a generic, high-level expression syntax for linear algebra %A Matthias Maier %A Mauro Bardelloni %A Luca Heltai %B COMPUTERS & MATHEMATICS WITH APPLICATIONS %V 72 %P 1–24 %G eng %R 10.1016/j.camwa.2016.04.024 %0 Journal Article %J Journal of the Mechanics and Physics of Solids %D 2015 %T Liquid crystal elastomer strips as soft crawlers %A Antonio DeSimone %A Paolo Gidoni %A Giovanni Noselli %K Crawling motility %K Directional surfaces %K Frictional interactions %K Liquid crystal elastomers %K Soft biomimetic robots %XIn this paper, we speculate on a possible application of Liquid Crystal Elastomers to the field of soft robotics. In particular, we study a concept for limbless locomotion that is amenable to miniaturisation. For this purpose, we formulate and solve the evolution equations for a strip of nematic elastomer, subject to directional frictional interactions with a flat solid substrate, and cyclically actuated by a spatially uniform, time-periodic stimulus (e.g., temperature change). The presence of frictional forces that are sensitive to the direction of sliding transforms reciprocal, ‘breathing-like’ deformations into directed forward motion. We derive formulas quantifying this motion in the case of distributed friction, by solving a differential inclusion for the displacement field. The simpler case of concentrated frictional interactions at the two ends of the strip is also solved, in order to provide a benchmark to compare the continuously distributed case with a finite-dimensional benchmark. We also provide explicit formulas for the axial force along the crawler body.

%B Journal of the Mechanics and Physics of Solids %V 84 %P 254 - 272 %G eng %U http://www.sciencedirect.com/science/article/pii/S0022509615300430 %R https://doi.org/10.1016/j.jmps.2015.07.017 %0 Journal Article %D 2014 %T Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length %A Gianni Dal Maso %A Gianluca Orlando %A Rodica Toader %K cracked domains, energy release rate, higher order derivatives, asymptotic expansion of solutions %XWe consider the weak solution of the Laplace equation in a planar domain with a straight crack, prescribing a homogeneous Neumann condition on the crack and a nonhomogeneous Dirichlet condition on the rest of the boundary. For every k we express the k-th derivative of the energy with respect to the crack length in terms of a finite number of coefficients of the asymptotic expansion of the solution near the crack tip and of a finite number of other parameters, which only depend on the shape of the domain.

%I SISSA %G en %U http://hdl.handle.net/1963/7271 %1 7316 %2 Mathematics %4 1 %# MAT/05 ANALISI MATEMATICA %$ Submitted by Gianni Dal Maso (dalmaso@sissa.it) on 2014-03-11T15:17:50Z No. of bitstreams: 1 DM-Orl-Toa-sissa.pdf: 251851 bytes, checksum: 59273a217a11dcfc5a9ed89d2c34c6cd (MD5) %R 10.1007/s00030-014-0291-0 %0 Book Section %D 2014 %T Lecture notes on gradient flows and optimal transport %A Sara Daneri %A Giuseppe Savarè %X We present a short overview on the strongest variational formulation for gradient flows of geodesically λ-convex functionals in metric spaces, with applications to diffusion equations in Wasserstein spaces of probability measures. These notes are based on a series of lectures given by the second author for the Summer School "Optimal transportation: Theory and applications" in Grenoble during the week of June 22-26, 2009. %I Cambridge University Press %G en %U http://urania.sissa.it/xmlui/handle/1963/35093 %1 35348 %2 Mathematics %4 1 %$ Submitted by gfeltrin@sissa.it (gfeltrin@sissa.it) on 2015-12-02T11:28:52Z No. of bitstreams: 1 preprint2014.pdf: 448708 bytes, checksum: b8b01c6463b81dc26c42c74009c43406 (MD5) %R 10.1017/CBO9781107297296 %0 Journal Article %D 2014 %T Legendre duality on hypersurfaces in Kähler manifolds %A Vittorio Martino %X We give a sufficient condition on real strictly Levi-convex hypersurfaces M, embedded in four-dimensional Kähler manifolds V , such that Legendre duality can be performed. We consider the contact form onM whose kernel is the restriction of the holomorphic tangent space of V and show that if there exists a Legendrian Killing vector field v, then the dual form β(̇) := d(v, ̇) is a contact form on M with the same orientation than theta. %I Walter de Gruyter and Co. %G en %U http://urania.sissa.it/xmlui/handle/1963/34777 %1 34998 %2 Mathematics %4 1 %$ Submitted by gfeltrin@sissa.it (gfeltrin@sissa.it) on 2015-10-27T17:37:38Z No. of bitstreams: 1 preprint2014.pdf: 98700 bytes, checksum: 1187e3e70cd12ba31a32c4be8491bd32 (MD5) %R 10.1515/advgeom-2014-0016 %0 Journal Article %J ESAIM: Control, Optimisation and Calculus of Variations %D 2014 %T Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity %A Elisa Davoli %XThe subject of this paper is the rigorous derivation of reduced models for a thin plate by means of $\Gamma$-convergence, in the framework of finite plasticity. Denoting by $\epsilon$ the thickness of the plate, we analyse the case where the scaling factor of the elasto-plastic energy per unit volume is of order $\epsilon^{2 \alpha -2}$, with $\alpha \geq 3$. According to the value of $\alpha$, partially or fully linearized models are deduced, which correspond, in the absence of plastic deformation, to the Von Kármán plate theory and the linearized plate theory.

%B ESAIM: Control, Optimisation and Calculus of Variations %I EDP Sciences %V 20 %P 725–747 %G eng %R 10.1051/cocv/2013081 %0 Journal Article %D 2014 %T Lipschitz continuous viscosity solutions for a class of fully nonlinear equations on lie groups %A Vittorio Martino %A Annamaria Montanari %X In this paper, we prove existence and uniqueness of Lipschitz continuous viscosity solutions for Dirichlet problems involving a class a fully non-linear operators on Lie groups. In particular, we consider the elementary symmetric functions of the eigenvalues of the Hessian built with left-invariant vector fields. %I Springer %G en %U http://urania.sissa.it/xmlui/handle/1963/34699 %1 34910 %2 Mathematics %4 1 %$ Submitted by gfeltrin@sissa.it (gfeltrin@sissa.it) on 2015-10-22T10:28:16Z No. of bitstreams: 1 preprint2014.pdf: 418666 bytes, checksum: 959eed7adb8eeecee6c733f5ad7a136c (MD5) %R 10.1007/s12220-012-9332-2 %0 Journal Article %J SIAM Journal on Mathematical Analysis %D 2014 %T Local and global minimality results for a nonlocal isoperimetric problem on R^N %A Marco Bonacini %A Riccardo Cristoferi %K Nonlocal isoperimetric problem %XWe consider a nonlocal isoperimetric problem defined in the whole space R^N, whose nonlocal part is given by a Riesz potential with exponent $\alpha\in(0, N-1)$. We show that critical configurations with positive second variation are local minimizers and satisfy a quantitative inequality with respect to the L^1-norm. This criterion provides the existence of a (explicitly determined) critical threshold determining the interval of volumes for which the ball is a local minimizer, and allows to address several global minimality issues.

%B SIAM Journal on Mathematical Analysis %I SIAM Publications %V 46 %P 2310-2349 %G en %U http://hdl.handle.net/1963/6984 %N 4 %1 6976 %2 Mathematics %4 1 %# MAT/05 ANALISI MATEMATICA %$ Submitted by Marco Bonacini (mbonacin@sissa.it) on 2013-07-19T15:56:58Z No. of bitstreams: 1 boncri_fin.pdf: 567997 bytes, checksum: a24d4e9e6bbd6f176558b4d007dba6e3 (MD5) %R 10.1137/130929898 %0 Journal Article %D 2014 %T Local behavior of fractional p-minimizers %A Agnese Di Castro %A Tuomo Kuusi %A Giampiero Palatucci %K fractional Sobolev spaces %XWe extend the De Giorgi-Nash Moser theory to nonlocal, possibly degerate integro-differential operators

%I SISSA %G en %1 7301 %2 Mathematics %4 1 %# MAT/05 ANALISI MATEMATICA %$ Submitted by Giampiero Palatucci (palatucc@sissa.it) on 2014-03-03T08:54:40Z No. of bitstreams: 1 DKP.pdf: 459581 bytes, checksum: 58cf9e0f905a3932505ab467eefd39e9 (MD5) %0 Journal Article %D 2014 %T On the Lp-differentiability of certain classes of functions %A Giovanni Alberti %A Stefano Bianchini %A Gianluca Crippa %X We prove the Lp-differentiability at almost every point for convolution products on ℝd of the form K*μ, where μ is bounded measure and K is a homogeneous kernel of degree 1-d. From this result we derive the Lp-differentiability for vector fields on R d whose curl and divergence are measures, and also for vector fields with bounded deformation. %I European Mathematical Society %G en %U http://urania.sissa.it/xmlui/handle/1963/34695 %1 34909 %2 Mathematics %4 1 %# MAT/05 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2015-10-22T09:44:25Z No. of bitstreams: 1 Alberti_Bianchini_50_M.pdf: 253000 bytes, checksum: 06381747f80814ced325966adefdec91 (MD5) %R 10.4171/rmi/782 %0 Journal Article %J Journal of Geometric Analysis %D 2013 %T Lipschitz Classification of Almost-Riemannian Distances on Compact Oriented Surfaces %A Ugo Boscain %A Grégoire Charlot %A Roberta Ghezzi %A Mario Sigalotti %XTwo-dimensional almost-Riemannian structures are generalized Riemannian structures on surfaces for which a local orthonormal frame is given by a Lie bracket generating pair of vector fields that can become collinear. We consider the Carnot–Carathéodory distance canonically associated with an almost-Riemannian structure and study the problem of Lipschitz equivalence between two such distances on the same compact oriented surface. We analyze the generic case, allowing in particular for the presence of tangency points, i.e., points where two generators of the distribution and their Lie bracket are linearly dependent. The main result of the paper provides a characterization of the Lipschitz equivalence class of an almost-Riemannian distance in terms of a labeled graph associated with it.

%B Journal of Geometric Analysis %V 23 %P 438–455 %8 Jan %G eng %U https://doi.org/10.1007/s12220-011-9262-4 %R 10.1007/s12220-011-9262-4 %0 Journal Article %J Ann. Inst. H. Poincare Anal. Non Lineaire %D 2012 %T Linear elasticity obtained from finite elasticity by Gamma-convergence under weak coerciveness conditions %A Virginia Agostiniani %A Gianni Dal Maso %A Antonio DeSimone %K Nonlinear elasticity %XThe energy functional of linear elasticity is obtained as G-limit of suitable rescalings of the energies of finite elasticity...

%B Ann. Inst. H. Poincare Anal. Non Lineaire %I Gauthier-Villars;Elsevier %V 29 %P 715-735 %G en %U http://hdl.handle.net/1963/4267 %1 3996 %2 Mathematics %3 Functional Analysis and Applications %4 -1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2011-09-26T15:11:45Z\\r\\nNo. of bitstreams: 1\\r\\nAgostiniani_DalMaso_30_M.pdf: 407057 bytes, checksum: 2009d1218f7735191a1c768a73b400a3 (MD5) %R 10.1016/j.anihpc.2012.04.001 %0 Journal Article %J Central European Journal of Mathematics, Volume 10, Issue 4, August 2012, Pages 1442-1454 %D 2012 %T On localization in holomorphic equivariant cohomology %A Ugo Bruzzo %A Vladimir Rubtsov %K Lie algebroids %X We prove a localization formula for a "holomorphic equivariant cohomology" attached to the Atiyah algebroid of an equivariant holomorphic vector bundle. This generalizes Feng-Ma, Carrell-Liebermann, Baum-Bott and K. Liu's localization formulas. %B Central European Journal of Mathematics, Volume 10, Issue 4, August 2012, Pages 1442-1454 %I Springer %G en %U http://hdl.handle.net/1963/6584 %1 6543 %2 Mathematics %4 1 %$ Approved for entry into archive by Lucio Lubiana (lubiana@sissa.it) on 2013-04-08T12:16:34Z (GMT) No. of bitstreams: 0 %R 10.2478/s11533-012-0054-2 %0 Journal Article %J Nonlinearity %D 2012 %T On the location of poles for the Ablowitz-Segur family of solutions to the second Painlevé equation %A Marco Bertola %B Nonlinearity %V 25 %P 1179–1185 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1088/0951-7715/25/4/1179 %R 10.1088/0951-7715/25/4/1179 %0 Journal Article %J Communication in Partial Differential Equations 36 (2011) 2062-2102 %D 2011 %T Large Time Existence for Thin Vibrating Plates %A Helmut Abels %A Maria Giovanna Mora %A Stefan Müller %X We construct strong solutions for a nonlinear wave equation for a thin vibrating plate described by nonlinear elastodynamics. For sufficiently small thickness we obtain existence of strong solutions for large\\r\\ntimes under appropriate scaling of the initial values such that the limit system as h --> 0 is either the nonlinear von Karman plate equation or the linear fourth order Germain-Lagrange equation. In the case of the\\r\\nlinear Germain-Lagrange equation we even obtain a convergence rate of the three-dimensional solution to the solution of the two-dimensional linear plate equation. %B Communication in Partial Differential Equations 36 (2011) 2062-2102 %I Taylor & Francis %G en_US %U http://hdl.handle.net/1963/3755 %1 562 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2009-09-15T09:12:35Z\\r\\nNo. of bitstreams: 1\\r\\nLongTimeExistence.pdf: 331066 bytes, checksum: eba3dcbc86ddcd7b92e10fddca5964c4 (MD5) %R 10.1080/03605302.2011.618209 %0 Journal Article %J Functional Analysis and Its Applications. Volume 45, Issue 4, December 2011, Pages 278-290 %D 2011 %T Linearly degenerate Hamiltonian PDEs and a new class of solutions to the WDVV associativity equations %A Boris Dubrovin %A M.V. Pavlov %A Sergei A. Zykov %K Frobenius manifold %X We define a new class of solutions to the WDVV associativity equations. This class is determined by the property that one of the commuting PDEs associated with such a WDVV solution is linearly degenerate. We reduce the problem of classifying such solutions of the WDVV equations to the particular case of the so-called algebraic Riccati equation and, in this way, arrive at a complete classification of irreducible solutions. %B Functional Analysis and Its Applications. Volume 45, Issue 4, December 2011, Pages 278-290 %I Springer %G en %U http://hdl.handle.net/1963/6430 %1 6367 %2 Mathematics %4 -1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2013-01-29T11:15:30Z No. of bitstreams: 1 dubrovin_linearly.pdf: 298813 bytes, checksum: 568feaa543b4082cc8e8fab4643dce71 (MD5) %R 10.1007/s10688-011-0030-9 %0 Journal Article %J JHEP 09(2011)096 %D 2011 %T The Liouville side of the vortex %A Giulio Bonelli %A Alessandro Tanzini %A Jian Zhao %X We analyze conformal blocks with multiple (semi-)degenerate field insertions in Liouville/Toda conformal field theories an show that their vector space is fully reproduced by the four-dimensional limit of open topological string amplitudes on the strip with generic boundary conditions associated to a suitable quiver gauge theory. As a byproduct we identify the non-abelian vortex partition function with a specific fusion channel of degenerate conformal blocks. %B JHEP 09(2011)096 %I SISSA %G en %U http://hdl.handle.net/1963/4304 %1 4019 %2 Physics %3 Elementary Particle Theory %4 -1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2011-09-27T09:53:04Z\\r\\nNo. of bitstreams: 1\\r\\n1107.2787v1.pdf: 990433 bytes, checksum: 1dc28192f585097bc1e32987afd97aa7 (MD5) %R 10.1007/JHEP09(2011)096 %0 Journal Article %J Phys. Rev. D 81 (2010) 125024 %D 2010 %T Lorentz Covariant k-Minkowski Spacetime %A Ludwik Dabrowski %A Michal Godlinski %A Gherardo Piacitelli %X In recent years, different views on the interpretation of Lorentz covariance of non commuting coordinates were discussed. Here, by a general procedure, we construct the minimal canonical central covariantisation of the k-Minkowski spacetime. We then show that, though the usual k-Minkowski spacetime is covariant under deformed (or twisted) Lorentz action, the resulting framework is equivalent to taking a non covariant restriction of the covariantised model. We conclude with some general comments on the approach of deformed covariance. %B Phys. Rev. D 81 (2010) 125024 %G en_US %U http://hdl.handle.net/1963/3829 %1 498 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-01-26T15:05:30Z\\nNo. of bitstreams: 1\\n0912.5451v2.pdf: 189407 bytes, checksum: e0a9a6af9e79410c0a199250cb168d04 (MD5) %R 10.1103/PhysRevD.81.125024 %0 Journal Article %J Journal of Structural Engineering %D 2009 %T Low-Frequency Variations of Force Coefficients on Square Cylinders with Sharp and Rounded Corners %A Andrea Mola %A Giancarlo Bordonaro %A Muhammad R. Hajj %B Journal of Structural Engineering %I American Society of Civil Engineers ({ASCE}) %V 135 %P 828–835 %8 jul %G eng %U https://doi.org/10.1061/(asce)st.1943-541x.0000034 %R 10.1061/(asce)st.1943-541x.0000034 %0 Journal Article %J SIAM J. Control Optim. 47 (2008) 111-143 %D 2008 %T Limit Time Optimal Syntheses for a control-affine system on S² %A Paolo Mason %A Rebecca Salmoni %A Ugo Boscain %A Yacine Chitour %X For $\\\\alpha \\\\in ]0,\\\\pi/2[$, let $(\\\\Sigma)_\\\\alpha$ be the control system $\\\\dot{x}=(F+uG)x$, where $x$ belongs to the two-dimensional unit sphere $S^2$, $u\\\\in [-1,1]$, and $F,G$ are $3\\\\times3$ skew-symmetric matrices generating rotations with perpendicular axes and of respective norms $\\\\cos(\\\\alpha)$ and $\\\\sin(\\\\alpha)$. In this paper, we study the time optimal synthesis (TOS) from the north pole $(0,0,1)^T$ associated to $(\\\\Sigma)_\\\\alpha$, as the parameter $\\\\alpha$ tends to zero; this problem is motivated by specific issues in the control of quantum systems. We first prove that the TOS is characterized by a \\\"two-snakes\\\" configuration on the whole $S^2$, except for a neighborhood $U_\\\\alpha$ of the south pole $(0,0,-1)^T$ of diameter at most ${\\\\cal O}(\\\\alpha)$. We next show that, inside $U_\\\\alpha$, the TOS depends on the relationship between $r(\\\\alpha):=\\\\pi/2\\\\alpha-[\\\\pi/2\\\\alpha]$ and $\\\\alpha$. More precisely, we characterize three main relationships by considering sequences $(\\\\alpha_k)_{k\\\\geq 0}$ satisfying (a) $r(\\\\alpha_k)=\\\\bar{r}$, (b) $r(\\\\alpha_k)=C\\\\alpha_k$, and (c) $r(\\\\alpha_k)=0$, where $\\\\bar{r}\\\\in (0,1)$ and $C>0$. In each case, we describe the TOS and provide, after a suitable rescaling, the limiting behavior, as $\\\\alpha$ tends to zero, of the corresponding TOS inside $U_\\\\alpha$. %B SIAM J. Control Optim. 47 (2008) 111-143 %G en_US %U http://hdl.handle.net/1963/1862 %1 2360 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-09-28T11:24:18Z\\nNo. of bitstreams: 1\\n48-M.pdf: 5823285 bytes, checksum: 7f66cf9d280da78b56a423c415d9078c (MD5) %R 10.1137/060675988 %0 Journal Article %J J.Phys.A: Math.Theor. 41,(2008), 205201-205247 %D 2008 %T On the Logarithmic Asymptotics of the Sixth Painleve\' Equation (Summer 2007) %A Davide Guzzetti %X We study the solutions of the sixth Painlev\'e equation with a logarithmic\r\nasymptotic behavior at a critical point. We compute the monodromy group\r\nassociated to the solutions by the method of monodromy preserving deformations\r\nand we characterize the asymptotic behavior in terms of the monodromy itself. %B J.Phys.A: Math.Theor. 41,(2008), 205201-205247 %I SISSA %G en %U http://hdl.handle.net/1963/6521 %1 6473 %2 Mathematics %4 1 %# MAT/07 FISICA MATEMATICA %$ Submitted by Davide Guzzetti (guzzetti@sissa.it) on 2013-03-12T10:36:09Z\nNo. of bitstreams: 1\n0801.1157v4.pdf: 449572 bytes, checksum: 6c4042b70a0d361af61282bee96d84db (MD5) %R 10.1088/1751-8113/41/20/205201 %0 Journal Article %J Phys. Rev. Lett. 98 (2007) 030404 %D 2007 %T Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas %A Gao Xianlong %A Matteo Rizzi %A Marco Polini %A Rosario Fazio %A Mario P. Tosi %A Vivaldo L. Jr. Campo %A Klaus Capelle %XThe Luther-Emery liquid is a state of matter that is predicted to occur in one-dimensional systems of interacting fermions and is characterized by a gapless charge spectrum and a gapped spin spectrum. In this Letter we discuss a realization of the Luther-Emery phase in a trapped cold-atom gas. We study by means of the density-matrix renormalization-group technique a two-component atomic Fermi gas with attractive interactions subject to parabolic trapping inside an optical lattice. We demonstrate how this system exhibits compound phases characterized by the coexistence of spin pairing and atomic-density waves. A smooth crossover occurs with increasing magnitude of the atom-atom attraction to a state in which tightly bound spin-singlet dimers occupy the center of the trap. The existence of atomic-density waves could be detected in the elastic contribution to the light-scattering diffraction pattern.

%B Phys. Rev. Lett. 98 (2007) 030404 %G en_US %U http://hdl.handle.net/1963/2056 %1 2140 %2 Physics %3 Condensed Matter Theory %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-09-06T11:46:28Z\\nNo. of bitstreams: 1\\ncond-mat0609346v1.pdf: 218755 bytes, checksum: 06a409d540e05ece03bbac85198ee19c (MD5) %R 10.1103/PhysRevLett.98.030404 %0 Report %D 2006 %T Large Parameter Behavior of Equilibrium Measures %A Tamara Grava %A Fei-Ran Tian %X We study the equilibrium measure for a logarithmic potential in the presence of an external field V*(x) + tp(x), where t is a parameter, V*(x) is a smooth function and p(x) a monic polynomial. When p(x) is of an odd degree, the equilibrium measure is shown to be supported on a single interval as |t| is sufficiently large. When p(x) is of an even degree, the equilibrium measure is supported on two disjoint intervals as t is negatively large; it is supported on a single interval for convex p(x) as t is positively large and is likely to be supported on multiple disjoint intervals for non-convex p(x). %B Commun. Math. Sci. 4 (2006) 551-573 %G en_US %U http://hdl.handle.net/1963/1789 %1 2755 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-03-30T13:50:45Z\\nNo. of bitstreams: 1\\n92FM-2005.pdf: 291341 bytes, checksum: 132e37e5c4fc64315d52903eed85753f (MD5) %0 Report %D 2006 %T Local Index Formula on the Equatorial Podles Sphere %A Francesco D'Andrea %A Ludwik Dabrowski %X We discuss spectral properties of the equatorial Podles sphere. As a preparation we also study the `degenerate\\\' (i.e. $q=0$) case (related to the quantum disk). We consider two different spectral triples: one related to the Fock representation of the Toeplitz algebra and the isopectral one.... %B Lett. Math. Phys. 75 (2006) 235-254 %G en_US %U http://hdl.handle.net/1963/1782 %1 2762 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-03-30T11:54:30Z\\nNo. of bitstreams: 1\\n85FM-2005.pdf: 241084 bytes, checksum: 22ea5eb072a67393221cdb0284ab323d (MD5) %R 10.1007/s11005-005-0047-1 %0 Journal Article %J K-Theory 35 (2005) 375-394 %D 2005 %T The local index formula for SUq(2) %A Walter van Suijlekom %A Ludwik Dabrowski %A Giovanni Landi %A Andrzej Sitarz %A Joseph C. Varilly %X We discuss the local index formula of Connes-Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as the local cyclic cocycles yielding the index formula. %B K-Theory 35 (2005) 375-394 %G en_US %U http://hdl.handle.net/1963/1713 %1 2438 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-01-18T10:14:50Z\\nNo. of bitstreams: 1\\nmath.QA0501287.pdf: 189281 bytes, checksum: 75a780cbe958f6093e340102ad9bf176 (MD5) %R 10.1007/s10977-005-3116-4 %0 Journal Article %J Rend. Sem. Mat. Univ. Padova 110 (2003) 97-102 %D 2003 %T A lemma and a conjecture on the cost of rearrangements %A Alberto Bressan %X Consider a stack of books, containing both white and black books. Suppose that we want to sort them out, putting the white books on the right, and the black books on the left (fig.~1). This will be done by a finite sequence of elementary transpositions. In other words, if we have a stack of all black books of length $a$ followed by a stack of all white books of length $b$, we are allowed to reverse their order at the cost of $a+b$. We are interested in a lower bound on the total cost of the rearrangement. %B Rend. Sem. Mat. Univ. Padova 110 (2003) 97-102 %I Università di Padova %G en_US %U http://hdl.handle.net/1963/2914 %1 1786 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-09-11T13:23:07Z\\nNo. of bitstreams: 1\\nmath.AP0302228.pdf: 114252 bytes, checksum: 85213b6876996792213f6032c6fe2035 (MD5) %0 Journal Article %J SIAM J. Control Optim. 42 (2003) 513-531 %D 2003 %T On the local structure of optimal trajectories in R3 %A Andrei A. Agrachev %A Mario Sigalotti %X We analyze the structure of a control function u(t) corresponding to an optimal trajectory for the system $\\\\dot q =f(q)+u\\\\, g(q)$ in a three-dimensional manifold, near a point where some nondegeneracy conditions are satisfied. The kind of optimality which is studied includes time-optimality. The control turns out to be the concatenation of some bang and some singular arcs. Studying the index of the second variation of the switching times, the number of such arcs is bounded by four. %B SIAM J. Control Optim. 42 (2003) 513-531 %I SISSA Library %G en %U http://hdl.handle.net/1963/1612 %1 2506 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:05:18Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2002 %R 10.1137/S0363012902409246 %0 Journal Article %J Set-Valued Anal. 10 (2002), p.165-183 %D 2002 %T Linearized elasticity as gamma-limit of finite elasticity %A Gianni Dal Maso %A Matteo Negri %A Danilo Percivale %B Set-Valued Anal. 10 (2002), p.165-183 %I Springer %G en_US %U http://hdl.handle.net/1963/3052 %1 1281 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-09T15:20:52Z\\r\\nNo. of bitstreams: 1\\r\\nDM-Neg-Per-01.pdf: 199909 bytes, checksum: ddd0bf6c6890234f6d9c820fd6ab7f47 (MD5) %R 10.1023/A:1016577431636 %0 Journal Article %J Commun. Contemp. Math. 4 (2002) 297-326 %D 2002 %T Local calibrations for minimizers of the Mumford-Shah functional with a triple junction %A Maria Giovanna Mora %X We prove that, if u is a function satisfying all Euler conditions for the Mumford-Shah functional and the discontinuity set of u is given by three line segments meeting at the origin with equal angles, then there exists a neighbourhood U of the origin such that u is a minimizer of the Mumford-Shah functional on U with respect to its own boundary conditions on the boundary of U. The proof is obtained by using the calibration method. %B Commun. Contemp. Math. 4 (2002) 297-326 %I World Scientific %G en_US %U http://hdl.handle.net/1963/3050 %1 1283 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-09T14:49:33Z\\nNo. of bitstreams: 1\\n0105057v2.pdf: 321835 bytes, checksum: e085f082e744017d9dfa6a7372760af2 (MD5) %R 10.1142/S0219199702000646 %0 Journal Article %J Nonlinear Anal. 51 (2002) 649-662 %D 2002 %T On a Lyapunov functional relating shortening curves and viscous conservation laws %A Stefano Bianchini %A Alberto Bressan %X We study a nonlinear functional which controls the area swept by a curve moving in the plane in the direction of curvature. In turn, this yields a priori estimates on solutions to a class of parabolic equations and of scalar viscous conservation laws. A further application provides an estimate on the \\\"change of shape\\\" of a BV solution to a scalar conservation law. %B Nonlinear Anal. 51 (2002) 649-662 %I Elsevier %G en %U http://hdl.handle.net/1963/1337 %1 3118 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:56:28Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %R 10.1016/S0362-546X(01)00848-3 %0 Journal Article %J J. Phys. A 34 (2001) 2077-2085 %D 2001 %T Lax representation and Poisson geometry of the Kowalevski top %A Gregorio Falqui %X We discuss the Poisson structure underlying the two-field Kowalevski gyrostat and the Kowalevski top. We start from their Lax structure and construct a suitable pencil of Poisson brackets which endows these systems with the structure of bi-Hamiltonian completely integrable systems. We study the Casimir functions of such pencils, and show how it is possible to frame the Kowalevski systems within the so-called Gel\\\'fand-Zakharevich bi-Hamiltonian setting for integrable systems. %B J. Phys. A 34 (2001) 2077-2085 %I IOP Publishing %G en_US %U http://hdl.handle.net/1963/3244 %1 1457 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-11-05T09:26:47Z\\nNo. of bitstreams: 1\\nLaxrepresentation.pdf: 214031 bytes, checksum: e7ebdee1c74f45ce326005194acedae9 (MD5) %R 10.1088/0305-4470/34/11/301 %0 Journal Article %J Rend. Mat. Appl. (7) %D 2001 %T Lie triple systems and warped products %A Marco Bertola %A Gouthier, D. %B Rend. Mat. Appl. (7) %V 21 %P 275–293 %G eng %0 Journal Article %J Ann. I. H. Poincare - An., 2001, 18, 403 %D 2001 %T Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set %A Maria Giovanna Mora %A Massimiliano Morini %B Ann. I. H. Poincare - An., 2001, 18, 403 %I SISSA Library %G en %U http://hdl.handle.net/1963/1479 %1 2684 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:02:59Z (GMT). No. of bitstreams: 1\\nmath.FA0006032.pdf: 333515 bytes, checksum: 2bace45bae580c519969228abb3d4db7 (MD5)\\n Previous issue date: 2000 %R 10.1016/S0294-1449(01)00075-0 %0 Journal Article %J J. Math. Pures Appl. 79, 2 (2000) 141-162 %D 2000 %T Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets %A Gianni Dal Maso %A Maria Giovanna Mora %A Massimiliano Morini %B J. Math. Pures Appl. 79, 2 (2000) 141-162 %I SISSA Library %G en %U http://hdl.handle.net/1963/1261 %1 3194 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:55:27Z (GMT). No. of bitstreams: 1\\nmath-FA0006073.pdf: 195688 bytes, checksum: 199483eeec8fa727b6f84ce5270d3f32 (MD5)\\n Previous issue date: 1999 %R 10.1016/S0021-7824(99)00140-3 %0 Journal Article %J Arch. Ration. Mech. Anal. 149 (1999), no. 1, 1--22 %D 1999 %T L-1 stability estimates for n x n conservation laws %A Alberto Bressan %A Tai-Ping Liu %A Tong Yang %X Let $u_t+f(u)_x=0$ be a strictly hyperbolic $n\\\\times n$ system of conservation laws, each characteristic field being linearly degenerate or genuinely nonlinear. In this paper we explicitly define a functional $\\\\Phi=\\\\Phi(u,v)$, equivalent to the $L^1$ distance, which is `almost decreasing\\\', i.e., $\\\\Phi(u(t),v(t))-\\\\Phi(u(s),v(s))\\\\leq\\\\break O (\\\\epsilon)·(t-s)$ for all $t>s\\\\geq 0$, for every pair of $\\\\epsilon$-approximate solutions $u,v$ with small total variation, generated by a wave-front-tracking algorithm. The small parameter $\\\\epsilon$ here controls the errors in the wave speeds, the maximum size of rarefaction fronts and the total strength of all non-physical waves in $u$ and in $v$. From the above estimate, it follows that front-tracking approximations converge to a unique limit solution, depending Lipschitz continuously on the initial data, in the $L^1$ norm. This provides a new proof of the existence of the standard Riemann semigroup generated by an $n\\\\times n$ system of conservation laws.\\\'\\\' %B Arch. Ration. Mech. Anal. 149 (1999), no. 1, 1--22 %I Springer %G en_US %U http://hdl.handle.net/1963/3373 %1 957 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-11-28T18:35:48Z\\nNo. of bitstreams: 1\\nBressan_Liu.pdf: 1602231 bytes, checksum: fe5990668e708e14f93a4f78715b929c (MD5) %R 10.1007/s002050050165 %0 Journal Article %J Nonlinear Analysis, Theory, Methods and Applications. Volume 37, Issue 6, September 1999, Pages 707-717 %D 1999 %T A Lipschitz selection from the set of minimizers of a nonconvex functional of the gradient %A Gianni Dal Maso %A Vladimir V. Goncharov %A Antonio Ornelas %X A constructive and improved version of the proof that there exist a continuous map that solves the convexified problem is presented. A Lipschitz continuous map is analyzed such that a map vector minimizes the functional at each vector satisfying Cellina\\\'s condition of existence of minimum. This map is explicitly given by a direct constructive algorithm. %B Nonlinear Analysis, Theory, Methods and Applications. Volume 37, Issue 6, September 1999, Pages 707-717 %I SISSA %G en %U http://hdl.handle.net/1963/6439 %1 6379 %2 Mathematics %4 1 %# MAT/05 ANALISI MATEMATICA %$ Submitted by Gianni Dal Maso (dalmaso@sissa.it) on 2013-01-31T18:52:31Z\\nNo. of bitstreams: 1\\nDM-Gon-Orn-96-sissa.pdf: 182850 bytes, checksum: e2288b2be15f6e2f0d0dfc3fc74af3cd (MD5) %R 10.1016/S0362-546X(98)00067-4 %0 Journal Article %J Journal des Mathematiques Pures et Appliquees. Volume 77, Issue 1, January 1998, Pages 89-116 %D 1998 %T Limits of variational problems for Dirichlet forms in varying domains %A Gianni Dal Maso %A Virginia De Cicco %A Lino Notarantonio %A Nicoletta A. Tchou %B Journal des Mathematiques Pures et Appliquees. Volume 77, Issue 1, January 1998, Pages 89-116 %I SISSA %G en %U http://hdl.handle.net/1963/6440 %1 6377 %2 Mathematics %4 1 %# MAT/05 ANALISI MATEMATICA %$ Submitted by Gianni Dal Maso (dalmaso@sissa.it) on 2013-01-31T18:44:35Z\\nNo. of bitstreams: 2\\nDM-DeC-96.pdf: 145467 bytes, checksum: 0cf974ac5cc090ff7f9faae3d433043f (MD5)\\nDM-DeC-96-cover.pdf: 35849 bytes, checksum: cde85af897042e1ee2c1b1a8c724b8eb (MD5) %R 10.1016/S0362-546X(98)00067-4 %0 Journal Article %J Rend. Istit. Mat. Univ. Trieste 26 (1994) 339-360 %D 1994 %T Limits of Dirichlet problems in perforated domains: a new formulation %A Gianni Dal Maso %A Rodica Toader %B Rend. Istit. Mat. Univ. Trieste 26 (1994) 339-360 %I Università degli Studi di Trieste, Dipartimento di Scienze Matematiche %G en_US %U http://hdl.handle.net/1963/3649 %1 656 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2009-06-16T11:02:31Z\\nNo. of bitstreams: 1\\ndalmaso18.pdf: 255148 bytes, checksum: e857ab6de9d63e187905170895a65ccf (MD5) %0 Journal Article %J Partial differential equations and the calculus of variations : essays in honor of Ennio De Giorgi. - Boston : Birkhauser, 1989. - p. 285-309 %D 1989 %T Limits of obstacle problems for the area functional. %A Gianni Dal Maso %A Michele Carriero %A Antonio Leaci %A Eduardo Pascali %B Partial differential equations and the calculus of variations : essays in honor of Ennio De Giorgi. - Boston : Birkhauser, 1989. - p. 285-309 %I SISSA Library %G en %U http://hdl.handle.net/1963/577 %1 3327 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:34:36Z (GMT). No. of bitstreams: 0\\r\\n Previous issue date: 1987 %0 Journal Article %J Manuscripta Math. 61 (1988), no. 3, 251-278. %D 1988 %T Limits of nonlinear Dirichlet problems in varying domains. %A Gianni Dal Maso %A Anneliese Defranceschi %X We study the general form of the limit, in the sense of gamma-convergence, of a sequence of nonlinear variational problems in varying domains with Dirichlet boudary conditions. The asymptotic problem is characterized in terms of the limit of suitable nonlinear capacities associated to the domains. %B Manuscripta Math. 61 (1988), no. 3, 251-278. %I SISSA Library %G en %U http://hdl.handle.net/1963/536 %1 3368 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:34:06Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1987 %0 Journal Article %J Phys. Lett. B 195 (1987), no. 3, 429-434 %D 1987 %T Lie algebra extensions and abelian monopoles. %A Giovanni Landi %A Giuseppe Marmo %B Phys. Lett. B 195 (1987), no. 3, 429-434 %I SISSA Library %G en %U http://hdl.handle.net/1963/506 %1 3398 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:33:44Z (GMT). No. of bitstreams: 1\\n25_87.pdf: 317945 bytes, checksum: 2115410289a4c7e0b30e696532f0568e (MD5)\\n Previous issue date: 1987 %R 10.1016/0370-2693(87)90043-8 %0 Journal Article %J Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 81, 1987, no. 2, 111-118 %D 1987 %T Limits of nonlinear Dirichlet problems in varying domains. (Italian) %A Gianni Dal Maso %A Anneliese Defranceschi %B Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 81, 1987, no. 2, 111-118 %I SISSA Library %G en %U http://hdl.handle.net/1963/486 %1 3418 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:33:30Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1987