English

The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation

Analysis of PDEs 2019-05-22 v1

Abstract

In this paper we prove the existence and linear stability of full dimensional tori with subexponential decay for 1-dimensional nonlinear wave equation with external parameters, which relies on the method of KAM theory and the idea proposed by Bourgain \cite{BJFA2005}.

Keywords

Cite

@article{arxiv.1905.08398,
  title  = {The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation},
  author = {Hongzi Cong and Xiaoping Yuan},
  journal= {arXiv preprint arXiv:1905.08398},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1903.00127