Article ID Journal Published Year Pages File Type
6417265 Journal of Differential Equations 2011 19 Pages PDF
Abstract

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.

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Related Topics
Physical Sciences and Engineering Mathematics Analysis
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