A sharpened energy-Strichartz inequality for the wave equation

Giuseppe Negro

A sharpened energy-Strichartz inequality for the wave equation

Classical Analysis and ODEs 2023-07-24 v2 Analysis of PDEs

Authors: Giuseppe Negro

Abstract

We consider the sharp Strichartz estimate for the wave equation on $\mathbb R^{1+5}$ in the energy space, due to Bez and Rogers. We show that it can be refined by adding a term proportional to the distance from the set of maximisers, in the spirit of the classical sharpened Sobolev estimate of Bianchi and Egnell.

Keywords

strichartz estimates

Cite

@article{arxiv.2207.06350,
  title  = {A sharpened energy-Strichartz inequality for the wave equation},
  author = {Giuseppe Negro},
  journal= {arXiv preprint arXiv:2207.06350},
  year   = {2023}
}

Comments

13 pages. v2: minor referee suggestions incorporated. To appear in Bulletin of the London Mathematical Society

Related papers

View all related →