English

Large Initial Data Global Well-Posedness for a Supercritical Wave Equation

Analysis of PDEs 2016-02-29 v1

Abstract

We prove the existence of global solutions to the focusing energy-supercritical semilinear wave equation in R^{3+1} for arbitrary outgoing large initial data, after we modify the equation by projecting the nonlinearity on outgoing states.

Keywords

Cite

@article{arxiv.1602.08163,
  title  = {Large Initial Data Global Well-Posedness for a Supercritical Wave Equation},
  author = {Marius Beceanu and Avy Soffer},
  journal= {arXiv preprint arXiv:1602.08163},
  year   = {2016}
}

Comments

27 pages

R2 v1 2026-06-22T12:58:14.943Z