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Matematicheskie Zametki, 2013, Volume 94, Issue 6, Pages 889–907
DOI: https://doi.org/10.4213/mzm5617 (Mi mzm5617) 		 
The Cauchy–Goursat Problem for Wave Equations with Nonlinear Dissipative Term

S. S. Kharibegashvilia, O. M. Dzhokhadzeb

a Tbilisi Ivane Javakhishvili State University
b A. Razmadze Mathematical Institute, Georgian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm5617
Abstract: The Cauchy–Goursat problem for wave equations with nonlinear dissipative term is studied. The existence, uniqueness, and blow-up of global solutions of this problem are considered. The local solvability of this problem is also discussed.
Keywords: wave equation, Cauchy–Goursat problem, Volterra-type integral equation, Green's formula, dissipative term, blow-up of a solution.
Received: 28.02.2011
English version:
Mathematical Notes, 2013, Volume 94, Issue 6, Pages 913–929
DOI: https://doi.org/10.1134/S000143461311028X
Bibliographic databases:
Document Type: Article
UDC: 517.956.35
Language: Russian
Citation: S. S. Kharibegashvili, O. M. Dzhokhadze, “The Cauchy–Goursat Problem for Wave Equations with Nonlinear Dissipative Term”, Mat. Zametki, 94:6 (2013), 889–907; Math. Notes, 94:6 (2013), 913–929
Citation in format AMSBIB
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