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The Cauchy-Goursat problem for wave equations with nonlinear dissipative term

✍ Scribed by Kharibegashvili, S. S.; Jokhadze, O. M.

Book ID: 121583313
Publisher: SP MAIK Nauka/Interperiodica
Year: 2013
Tongue: English
Weight: 669 KB
Volume: 94
Category: Article
ISSN: 0001-4346
DOI: 10.1134/S000143461311028X

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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)