Uniqueness of Solution of the First Initial-Boundary Value Problem for Parabolic Systems with Constant Coefficients in a Semibounded Domain on the Plane
- Authors: Baderko E.A.1, Cherepova M.F.2
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Affiliations:
- Lomonosov Moscow State University
- National Research University “Moscow Power Engineering Institute”
- Issue: Vol 55, No 5 (2019)
- Pages: 658-668
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155018
- DOI: https://doi.org/10.1134/S0012266119050070
- ID: 155018
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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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