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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2021, Volume 36, Number 3, Pages 29–39
DOI: https://doi.org/10.26117/2079-6641-2021-36-3-29-39 (Mi vkam488) 		 
MATHEMATICS

On an analogue of the tricomi problem for a «pointwise» loaded hyperbolic-parabolic equation

K. U. Khubiev

Institute of Applied Mathematics and Automation of KBSC RAS
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DOI: https://doi.org/10.26117/2079-6641-2021-36-3-29-39
Abstract: The unique solvability of an analogue of the Tricomi problem is investigated for a loaded hyperbolic-parabolic equation. The load is determined at boundary and interior fixed points of the domain in which the solutions are sought. Sufficient conditions are found for the existence and uniqueness of solutions.
Keywords: loaded equation, equation of mixed type, hyperbolic-parabolic equation, Tricomi problem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation AAAA-A19-119013190078-8
The name of the funding programme: The study is supported by the Russian Ministry of Science and Education (State Assignment AAAA-A19-119013190078-8 for Basic Researches in 2019–2021).. Organization that has provided funding: Russian Ministry of Science and Education.
Document Type: Article
UDC: 517.95
MSC: Primary 35M10; Secondary 35M12
Language: Russian
Citation: K. U. Khubiev, “On an analogue of the tricomi problem for a «pointwise» loaded hyperbolic-parabolic equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 36:3 (2021), 29–39
Citation in format AMSBIB
\Bibitem{Khu21}
\by K.~U.~Khubiev
\paper On an analogue of the tricomi problem for a <<pointwise>> loaded hyperbolic-parabolic equation
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 36
\issue 3
\pages 29--39
\mathnet{http://mi.mathnet.ru/vkam488}
\crossref{https://doi.org/10.26117/2079-6641-2021-36-3-29-39}
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