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Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations

✍ Scribed by Mitsuhiro Nakao; Kosuke Ono

Book ID: 110559809
Publisher: Springer-Verlag
Year: 1993
Tongue: French
Weight: 646 KB
Volume: 214
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf02572407

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## 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)