The Threshold between Effective and Noneffective Damping for Semilinear Waves
Analysis of PDEs
2015-09-10 v2
Abstract
In this paper we study the global existence of small data solutions to the Cauchy problem for the semilinear wave equation with scale-invariant damping. We obtain estimates for the solution and its energy with the same decay rate of the linear problem. We extend our results to a model with polynomial speed of propagation and to a model with an exponential speed of propagation.
Cite
@article{arxiv.1211.0731,
title = {The Threshold between Effective and Noneffective Damping for Semilinear Waves},
author = {Marcello D'Abbicco},
journal= {arXiv preprint arXiv:1211.0731},
year = {2015}
}
Comments
19 pages