Generalised energy conservation law for the wave equations with variable propagation speed
Analysis of PDEs
2009-11-24 v2
Abstract
We investigate the long time behaviour of the -energy of solutions to wave equations with variable speed. The novelty of the approach is the combination of estimates for higher order derivatives of the coefficient with a stabilisation property.
Keywords
Cite
@article{arxiv.0802.0409,
title = {Generalised energy conservation law for the wave equations with variable propagation speed},
author = {Fumihiko Hirosawa and Jens Wirth},
journal= {arXiv preprint arXiv:0802.0409},
year = {2009}
}
Comments
23 pages, further examples and counter-examples included