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Scattering and exponential decay of the local energy for the solutions of semilinear and subcritical wave equation outside convex obstacle

Bchatnia Ahmed, 2004

Mathematische Zeitschrift, 3, 247, 619–642, Février 2004

Résumé

In this paper, we prove a Scattering theorem for the wave equation

with localized subcritical semilinearity outside convex obstacle; then we deduce

the exponential decay of local energy. The proof relies on generalized Strichartz

estimates, and microlocal defect measures.

In this paper, we prove a Scattering theorem for the wave equationwith localized subcritical semilinearity outside convex obstacle; then we deducethe exponential decay of local energy. The proof relies on generalized Strichartzestimates, and microlocal defect measures.

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