English

Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data

Analysis of PDEs 2018-10-31 v2

Abstract

In this paper we prove that the cubic wave equation is globally well - posed and scattering for radial initial data lying in a slightly supercritical Sobolev space, and a weighted Sobolev space.

Keywords

Cite

@article{arxiv.1604.04255,
  title  = {Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data},
  author = {Benjamin Dodson},
  journal= {arXiv preprint arXiv:1604.04255},
  year   = {2018}
}

Comments

48 pages

R2 v1 2026-06-22T13:32:45.225Z