English

Optimal decay rate of solutions for nonlinear Klein-Gordon systems of critical type

Analysis of PDEs 2020-02-28 v1

Abstract

We consider the decay rate of solutions to nonlinear Klein-Gordon systems with a critical type nonlinearity. We will specify the optimal decay rate for a specific class of Klein-Gordon systems containing the dissipative nonlinearites. It will turn out that the decay rate which is previously found in some models is optimal.

Keywords

Cite

@article{arxiv.2002.12012,
  title  = {Optimal decay rate of solutions for nonlinear Klein-Gordon systems of critical type},
  author = {Satoshi Masaki and Koki Sugiyama},
  journal= {arXiv preprint arXiv:2002.12012},
  year   = {2020}
}

Comments

8 pages, no figure