Uniqueness of Solution of the First Initial-Boundary Value Problem for Parabolic Systems with Constant Coefficients in a Semibounded Domain on the Plane


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Abstract

The first initial-boundary value problem is considered for a Petrovskii parabolic second-order system with constant coefficients in a semibounded domain with nonsmooth lateral boundary on the plane. The uniqueness of solution of this problem in Holder classes is proved.

About the authors

E. A. Baderko

Lomonosov Moscow State University

Author for correspondence.
Email: baderko.ea@yandex.ru
Russian Federation, Moscow, 119991

M. F. Cherepova

National Research University “Moscow Power Engineering Institute”

Author for correspondence.
Email: CherepovaMF@mpei.ru
Russian Federation, Moscow, 111250

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