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Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

Analysis of PDEs 2007-05-23 v3

Abstract

We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of LxL^\infty_x estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate Lt4LxL^4_t L^\infty_x for n=2n=2.

Keywords

Cite

@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}
}

Comments

9 pages with 5 figures; some typos corrected