Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

Daoyuan Fang; Chengbo Wang

doi:10.1016/j.na.2005.09.040

Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

偏微分方程分析 2007-05-23 v3

作者: Daoyuan Fang , Chengbo Wang

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of $L^\infty_x$ estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate $L^4_t L^\infty_x$ for $n=2$ .

关键词

strichartz estimates

引用

@article{arxiv.math/0502505,
  title  = {Some Remarks on Strichartz Estimates for Homogeneous Wave Equation},
  author = {Daoyuan Fang and Chengbo Wang},
  journal= {arXiv preprint arXiv:math/0502505},
  year   = {2007}
}

备注

9 pages with 5 figures; some typos corrected

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