91-64 Craig W., Wayne C.E.
Nonlinear Waves and the KAM Theorem: Nonlinear Degeneracies (50K, TeX) Nov 21, 91
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. This paper describes how one can use ideas related to the Nash-Moser implicit function theorem to construct solutions of nonlinear wave equations of the form: $$u_{tt} = u_{xx} - g(x,u) \qquad 0 < x < \pi,\;$$ We concentrate in this note on the case in which the nonlinear term $g(x,u)$, fails to satisfy a nondegeneracy condition which is the analogue of the twist condition in Moser twist mapping theorem.

Files: 91-64.tex