English

Weighted Strichartz estimates and global existence for semilinear wave equations

Analysis of PDEs 2007-05-23 v1

Abstract

We prove certain weighted Strichartz estimates and use these to prove a sharp theorem for global existence of small amplitude solutions of u=up\square u= |u|^p, thus verifying the so-called "Strauss conjecture".

Keywords

Cite

@article{arxiv.math/9912206,
  title  = {Weighted Strichartz estimates and global existence for semilinear wave equations},
  author = {V. Georgiev and Hans Lindblad and Christopher D. Sogge},
  journal= {arXiv preprint arXiv:math/9912206},
  year   = {2007}
}
R2 v1 2026-07-22T18:06:00.105Z