Stability for solutions of wave equations with C^{1,1} coefficients

Details Stability for solutions of wave equations with C^{1,1} coefficients Stability for solutions of wave equations with C^{1,1} coefficients

2006-11-15

arxiv.org/abs/math/0611457v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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