TY - JOUR
T1 - Blow-up solutions for the SchrÃ¶dinger equation in dimension three with a concentrated nonlinearity
JF - Ann. Inst. H. Poincare Anal. Non Lineaire 21 (2004) 121-137
Y1 - 2004
A1 - Riccardo Adami
A1 - Gianfausto Dell'Antonio
A1 - Rodolfo Figari
A1 - Alessandro Teta
AB - We present some results on the blow-up phenomenon for the Schroedinger equation in dimension three with a nonlinear term supported in a fixed point. We find sufficient conditions for the blow up exploiting the moment of inertia of the solution and the uncertainty principle. In the critical case, we discuss the additional symmetry of the equation and construct a family of explicit blow up solutions.
PB - Elsevier
UR - http://hdl.handle.net/1963/2998
U1 - 1335
U2 - Mathematics
U3 - Mathematical Physics
ER -