Quasi-periodic Solutions of Nonlinear Wave Equations with a Prescribed Potential

Abstract

It is proved that for a prescribed potential V there are many quasiperiodic solutions of nonlinear wave equations utt−uxx +V (x)u±u3 +O(|u|5) = 0 subject to Dirichlet boundary conditions. 

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Cite this paper

@inproceedings{Yuan2006QuasiperiodicSO, title={Quasi-periodic Solutions of Nonlinear Wave Equations with a Prescribed Potential}, author={Xiaoping Yuan}, year={2006} }