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Mathematical notes of NEFU, 2021, Volume 28, Issue 3, Pages 5–18
DOI: https://doi.org/10.25587/SVFU.2021.81.22.001 (Mi svfu322) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Boundary value problems for the Rayleigh–Bishop equation in a quarter plane

G. V. Demidenkoab, A. A. Kudryavtsevb

a Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk 630090, Russia
b Novosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia
Full-text PDF (297 kB) Citations (2)
DOI: https://doi.org/10.25587/SVFU.2021.81.22.001
Abstract: We consider initial-boundary value problems for the Rayleigh–Bishop equation in a quarter plane. It is assumed that the initial-boundary value problems satisfy the Lopatinskii condition. A unique solvability in an anisotropic Sobolev space with an exponential weight is proved and an estimate for the solution is established.
Keywords: pseudohyperbolic equation, Rayleigh–Bishop equation, initial-boundary value problem, Lopatinskii condition, Sobolev space.
Received: 29.03.2021
Accepted: 26.08.2021
Bibliographic databases:
Document Type: Article
UDC: 517.956.223
Language: Russian
Citation: G. V. Demidenko, A. A. Kudryavtsev, “Boundary value problems for the Rayleigh–Bishop equation in a quarter plane”, Mathematical notes of NEFU, 28:3 (2021), 5–18
Citation in format AMSBIB
\Bibitem{DemKud21}
\by G.~V.~Demidenko, A.~A.~Kudryavtsev
\paper Boundary value problems for the Rayleigh--Bishop equation in a quarter plane
\jour Mathematical notes of NEFU
\yr 2021
\vol 28
\issue 3
\pages 5--18
\mathnet{http://mi.mathnet.ru/svfu322}
\crossref{https://doi.org/10.25587/SVFU.2021.81.22.001}
\elib{https://elibrary.ru/item.asp?id=46670173}
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    • This publication is cited in the following 2 articles:
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