Stability for solutions of wave equations with C^(1,1) coefficients
classification
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keywords
equationssolutionswaveapproachcauchyclasscoefficientsconsider
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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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