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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 204, Pages 135–145
DOI: https://doi.org/10.36535/0233-6723-2022-204-135-145 (Mi into949) 		 
Contact problem for a second-order parabolic equation with Dini-continuous coefficients

S. I. Saharovab

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.36535/0233-6723-2022-204-135-145
Abstract: We consider a contact problem for second-order parabolic equations with Dini-continuous coefficients in a strip divided by a nonsmooth curve into two domains. The existence and uniqueness of a regular solution to this problem is proved.
Keywords: parabolic contact problem, parabolic equation with discontinuous coefficients, method of boundary integral equations, simple layer potential.
Document Type: Article
UDC: 517.956.4
MSC: 35A01
Language: Russian
Citation: S. I. Saharov, “Contact problem for a second-order parabolic equation with Dini-continuous coefficients”, Proceedings of the Voronezh spring mathematical school  "Modern methods of the theory of boundary-value problems. Pontryagin  readings – XXXI". Voronezh, May 3-9, 2020, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 204, VINITI, Moscow, 2022, 135–145
Citation in format AMSBIB
\Bibitem{Sah22}
\by S.~I.~Saharov
\paper Contact problem for a second-order parabolic equation with Dini-continuous coefficients
\inbook Proceedings of the Voronezh spring mathematical school 
"Modern methods of the theory of boundary-value problems. Pontryagin  readings – XXXI".
Voronezh, May 3-9, 2020
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 204
\pages 135--145
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into949}
\crossref{https://doi.org/10.36535/0233-6723-2022-204-135-145}
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