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Exponential decay of the local energy for the solutions of critical wave equations outside a convex obstacle

Bchatnia Ahmed, 2012

Indagationes Mathematicae, 23, 3, 184–198, Avril 2012

Résumé

In this paper, we prove the exponential decay of local energy for the critical wave equation outside

a convex obstacle with localized semilinearity. The proof relies on generalized Strichartz estimates, and

microlocal defect measures.

In this paper, we prove the exponential decay of local energy for the critical wave equation outsidea convex obstacle with localized semilinearity. The proof relies on generalized Strichartz estimates, andmicrolocal defect measures.

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