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Decay of the local Energy for the Solutions of the nonlienear Wave Equation

Bchatnia Ahmed, 2012

Advanced Research in Scientific Areas, 1, 1, 1421-1423, Décembre 2012

Résumé

In this work, we prove a Scattering theorem for the subcritical and critical wave equation outside convex obstacle.

Then we deduce the exponential decay of local energy for localized semilinearity. The proof relies on generalized Strichartz

estimates, and microlocal defect measures. We prove also that this decay is of polynomial type with general case of semilinearity

but with small data.

subcritical and critical wave equation outside convex obstacle.

Then we deduce the exponential decay of local energy for

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