- 91-66 Craig W., Wayne C.E.
- Solutions of Nonlinear Wave Equations and
Localization Theory
(28K, TeX)
Nov 22, 91
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Abstract. In this note we describe a new method for
constructing time periodic
solutions of nonlinear wave equations of the form
$$
u_{tt} = u_{xx} - g(x,u) \qquad 0 < x < \pi,\;
$$
with either periodic or Dirichlet boundary conditions. Details of
the proof are not provided, but the main ideas are presented,
along with possible extensions of this method.
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91-66.tex