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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 2, Pages 281–296
DOI: https://doi.org/10.31857/S0044466920020076 (Mi zvmmf11036) 		 
Existence of solutions of nonlinear strongly dissipative wave equations with acoustic transmission conditions

S. E. Isaeva

Baku State University, Baku, AZ 1148 Azerbaijan
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DOI: https://doi.org/10.31857/S0044466920020076
Abstract: The mixed problem for nonlinear strongly dissipative wave equations with acoustic transmission conditions is considered. An existence and uniqueness theorem for local solutions is proved using the Faedo–Galerkin approximations, the compactness method, and the fixed point theorem. The existence of global solutions of this problem is also proved.
Key words: nonlinear wave equation, acoustic transmission conditions, local solution, fixed point theorem.
Received: 27.05.2019
Revised: 27.05.2019
Accepted: 17.10.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 2, Pages 286–301
DOI: https://doi.org/10.1134/S0965542520020062
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. E. Isaeva, “Existence of solutions of nonlinear strongly dissipative wave equations with acoustic transmission conditions”, Zh. Vychisl. Mat. Mat. Fiz., 60:2 (2020), 281–296; Comput. Math. Math. Phys., 60:2 (2020), 286–301
Citation in format AMSBIB
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