Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions
Analysis of PDEs
2025-08-25 v1
Abstract
We consider the focusing wave equation with energy supercritical nonlinearity in dimension four. We prove that any radial solution that remains bounded in the critical Sobolev space is global and scatters to free waves as .
Cite
@article{arxiv.2508.15996,
title = {Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions},
author = {Guher Camliyurt and Carlos E. Kenig},
journal= {arXiv preprint arXiv:2508.15996},
year = {2025}
}