On diffusion phenomena for the linear wave equation with space-dependent damping
Analysis of PDEs
2015-08-20 v1
Abstract
In this paper, we prove the diffusion phenomenon for the linear wave equation with space-dependent damping. We prove that the asymptotic profile of the solution is given by a solution of the corresponding heat equation in the -sense.
Cite
@article{arxiv.1309.3377,
title = {On diffusion phenomena for the linear wave equation with space-dependent damping},
author = {Yuta Wakasugi},
journal= {arXiv preprint arXiv:1309.3377},
year = {2015}
}
Comments
21 pages