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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