Abstract
In this paper the nonlinear wave equation
is studied. It is shown that for a large class of potentials,v(x), one can use KAM methods to construct periodic and quasi-periodic solutions (in time) for this equation.
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Communicated by A. Jaffe
Supported in part by NSF grants DMS-86-02001 and DMS-88-02118
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Wayne, C.E. Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory. Commun.Math. Phys. 127, 479–528 (1990). https://doi.org/10.1007/BF02104499
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DOI: https://doi.org/10.1007/BF02104499