Scattering for focusing supercritical wave equations in odd dimensions
Analysis of PDEs
2023-07-20 v3
Abstract
We consider the wave equation with an energy supercritical focusing nonlinearity in general odd dimensions. We prove that any radial solution that remains bounded in the critical Sobolev space is global and scatters to a linear solution.
Cite
@article{arxiv.2201.04710,
title = {Scattering for focusing supercritical wave equations in odd dimensions},
author = {Guher Camliyurt and Carlos E. Kenig},
journal= {arXiv preprint arXiv:2201.04710},
year = {2023}
}