TY - JOUR
T1 - Degenerate KAM theory for partial differential equations
JF - Journal of Differential Equations
Y1 - 2011
A1 - Dario Bambusi
A1 - Massimiliano Berti
A1 - Elena Magistrelli
AB - This paper deals with degenerate KAM theory for lower dimensional elliptic tori of infinite dimensional Hamiltonian systems, depending on one parameter only. We assume that the linear frequencies are analytic functions of the parameter, satisfy a weak non-degeneracy condition of Rüssmann type and an asymptotic behavior. An application to nonlinear wave equations is given. © 2010 Elsevier Inc.
VL - 250
N1 - cited By (since 1996)3
ER -