Global existence for semilinear damped wave equations in relation with the Strauss conjecture

Mengyun Liu; Chengbo Wang

Global existence for semilinear damped wave equations in relation with the Strauss conjecture

Analysis of PDEs 2018-07-17 v1

Authors: Mengyun Liu , Chengbo Wang

Abstract

We study the global existence of solutions to semilinear wave equations with power-type nonlinearity and general lower order terms on $n$ dimensional nontrapping asymptotically Euclidean manifolds, when $n=3, 4$ . In addition, we prove almost global existence with sharp lower bound of the lifespan for the four dimensional critical problem.

Keywords

semilinear wave equations damped wave equations global existence strauss conjecture almost global existence asymptotically euclidean manifolds lifespan

Cite

@article{arxiv.1807.05908,
  title  = {Global existence for semilinear damped wave equations in relation with the Strauss conjecture},
  author = {Mengyun Liu and Chengbo Wang},
  journal= {arXiv preprint arXiv:1807.05908},
  year   = {2018}
}

Comments

12 pages, no figure

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