Stability for solutions of wave equations with C^{1,1} coefficients
Analysis of PDEs
2007-05-23 v1
Abstract
We consider the stable dependence of solutions to wave equations on metrics in C^{1,1} class. The main result states that solutions depend uniformly continuously on the metric, when the Cauchy data is given in a range of Sobolev spaces. The proof is constructive and uses the wave packet approach to hyperbolic equations.
Keywords
Cite
@article{arxiv.math/0611457,
title = {Stability for solutions of wave equations with C^{1,1} coefficients},
author = {Mikko Salo},
journal= {arXiv preprint arXiv:math/0611457},
year = {2007}
}