English

A sharp Strichartz estimate for the wave equation with data in the energy space

Analysis of PDEs 2011-01-10 v1 Classical Analysis and ODEs

Abstract

We prove a sharp bilinear estimate for the wave equation from which we obtain the sharp constant in the Strichartz estimate which controls the Lt,x4(R5+1)L^4_{t,x}(\R^{5+1}) norm of the solution in terms of the energy. We also characterise the maximisers.

Keywords

Cite

@article{arxiv.1101.1447,
  title  = {A sharp Strichartz estimate for the wave equation with data in the energy space},
  author = {Neal Bez and Keith M. Rogers},
  journal= {arXiv preprint arXiv:1101.1447},
  year   = {2011}
}

Comments

19 pages

R2 v1 2026-06-21T17:08:54.135Z