 9164 Craig W., Wayne C.E.
 Nonlinear Waves and the KAM Theorem:
Nonlinear Degeneracies
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Nov 21, 91

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Abstract. This paper describes how one can use ideas related
to the NashMoser 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.
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