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

Scattering and exponential decay of the local energy for the solutions of semilinear and... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

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

Mathematische Zeitschrift , Volume 247 (3) – Feb 17, 2004

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References (21)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-003-0638-4
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Mathematische ZeitschriftSpringer Journals

Published: Feb 17, 2004

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