arXiv:math/0611457 Abstract

arXiv:math/0611457 [math.AP]Abstract References Reviews Resources

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

Published 2006-11-15Version 1

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.

Categories: math.AP

Subjects: 35L05

Keywords: wave equations, coefficients, wave packet approach, main result states, sobolev spaces

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