arXiv:math/0606459 Abstract

arXiv:math/0606459 [math.DS]Abstract References Reviews Resources

A KAM theorem with applications to partial equations of higher dimension

Published 2006-06-19Version 1

The existence of lower dimensional KAM tori is shown for a class of nearly integrable Hamiltonian systems where the second Melnikov's conditions are eliminated. As a consequence, it is proved that there exist many invariant tori and thus quasi-periodic solutions for nonlinear wave equations, Schr\"odinger equations and other equations of higher spatial dimension.

DOI: 10.1007/s00220-007-0287-2

Categories: math.DS, math-ph, math.MP

Subjects: 37K55

Keywords: kam theorem, higher dimension, partial equations, lower dimensional kam tori, applications

Tags: journal article

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