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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2022 Volume 204, Pages 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

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.

UDC: 517.956.4

MSC: 35A01

DOI: 10.36535/0233-6723-2022-204-135-145



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