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Small Amplitude Periodic Solutions of Klein-Gordon Equations

Analysis of PDEs 2014-10-15 v5 Dynamical Systems

Abstract

We consider a class of nonlinear Klein-Gordon equations utt=uxxu+f(u)u_{tt}=u_{xx}-u+f(u) and obtain a family of small amplitude periodic solutions, where the temporal and spatial period have different scales.

Keywords

Cite

@article{arxiv.1309.5058,
  title  = {Small Amplitude Periodic Solutions of Klein-Gordon Equations},
  author = {Nan Lu},
  journal= {arXiv preprint arXiv:1309.5058},
  year   = {2014}
}

Comments

The proof using the Nash-Moser iteration is updated