Semi-linear wave equations with effective damping
Analysis of PDEs
2013-05-07 v1
Abstract
We study the Cauchy problem for the semi-linear damped wave equation in any space dimension. We assume that the time-dependent damping term is effective. We prove the global existence of small energy data solutions in the supercritical case.
Cite
@article{arxiv.1210.3493,
title = {Semi-linear wave equations with effective damping},
author = {Marcello D'Abbicco and Sandra Lucente and Michael Reissig},
journal= {arXiv preprint arXiv:1210.3493},
year = {2013}
}
Comments
28 pages