Scattering for defocusing energy subcritical nonlinear wave equations
Analysis of PDEs
2020-11-18 v3
Abstract
We consider the Cauchy problem for the defocusing power type nonlinear wave equation in -dimensions for energy subcritical powers in the range . We prove that any solution is global-in-time and scatters to free waves in both time directions as long as its critical Sobolev norm stays bounded on the maximal interval of existence.
Cite
@article{arxiv.1810.03182,
title = {Scattering for defocusing energy subcritical nonlinear wave equations},
author = {Benjamin Dodson and Andrew Lawrie and Dana Mendelson and Jason Murphy},
journal= {arXiv preprint arXiv:1810.03182},
year = {2020}
}
Comments
105 pages, new version includes additional references