Decay estimates for a class of wave equations

Zihua Guo; Lizhong Peng; Baoxiang Wang

doi:10.1016/j.jfa.2007.12.010

Decay estimates for a class of wave equations

Analysis of PDEs 2008-02-22 v1 Classical Analysis and ODEs

Authors: Zihua Guo , Lizhong Peng , Baoxiang Wang

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Abstract

In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by $e^{it\phi(\sqrt{-\Delta})}$ , where $\phi: \mathbb{R}^+\to \mathbb{R}$ is smooth away from the origin. Especially, the decay estimates for the solutions of the Klein-Gordon equation and the beam equation are simplified and slightly improved.

Keywords

energy decay for wave equations strichartz estimates gradient estimates

Cite

@article{arxiv.0802.3167,
  title  = {Decay estimates for a class of wave equations},
  author = {Zihua Guo and Lizhong Peng and Baoxiang Wang},
  journal= {arXiv preprint arXiv:0802.3167},
  year   = {2008}
}

Comments

16 pages, 0 figure

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