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Some remarks on global existence to the Cauchy problem of the wave equation with nonlinear dissipation

✍ Scribed by Nour-Eddine Amroun; Abbès Benaissa


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
160 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

In this paper we prove the existence of global decaying H^2^ solutions to the Cauchy problem for a wave equation with a nonlinear dissipative term by constructing a stable set in H^1^(ℝ^n^ ). (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


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