$C^m$-theory of damped wave equations with stabilisation
Analysis of PDEs
2010-05-17 v1
Abstract
The aim of this note is to extend the energy decay estimates from [J. Wirth, J. Differential Equations 222 (2006) 487--514] to a broader class of time-dependent dissipation including very fast oscillations. This is achieved using stabilisation conditions on the coefficient in the spirit of [F. Hirosawa, Math. Ann. 339/4 (2007) 819--839].
Cite
@article{arxiv.0711.2403,
title = {$C^m$-theory of damped wave equations with stabilisation},
author = {Fumihiko Hirosawa and Jens Wirth},
journal= {arXiv preprint arXiv:0711.2403},
year = {2010}
}
Comments
13 pages