Email this article Simple layer potential and the first boundary value problem for a parabolic system on the plane
- Authors: Baderko E.A.1,2, Cherepova M.F.1,2
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Affiliations:
- Lomonosov Moscow State University
- National Research University “Moscow Power Engineering Institute”
- Issue: Vol 52, No 2 (2016)
- Pages: 197-209
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/153657
- DOI: https://doi.org/10.1134/S0012266116020063
- ID: 153657
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Abstract
By the method of boundary integral equations, we construct a classical solution of the first initial–boundary value problem for a one-dimensional (with respect to x) parabolic system in a domain with nonsmooth lateral boundary for the case in which the right-hand sides of the boundary conditions only have continuous derivatives of order 1/2. We study the smoothness of the solution.
About the authors
E. A. Baderko
Lomonosov Moscow State University; National Research University “Moscow Power Engineering Institute”
Author for correspondence.
Email: baderko.ea@yandex.ru
Russian Federation, Moscow; Moscow
M. F. Cherepova
Lomonosov Moscow State University; National Research University “Moscow Power Engineering Institute”
Email: baderko.ea@yandex.ru
Russian Federation, Moscow; Moscow
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