English

Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space

Analysis of PDEs 2021-08-09 v1

Abstract

In this paper we prove global well-posedness for the defocusing, energy-subcritical, nonlinear wave equation on R1+3\mathbb{R}^{1 + 3} with initial data in a critical Besov space. No radial symmetry assumption is needed.

Keywords

Cite

@article{arxiv.2108.03224,
  title  = {Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space},
  author = {Benjamin Dodson},
  journal= {arXiv preprint arXiv:2108.03224},
  year   = {2021}
}