Simple layer potential and the first boundary value problem for a parabolic system on the plane
- Autores: Baderko E.A.1,2, Cherepova M.F.1,2
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Afiliações:
- Lomonosov Moscow State University
- National Research University “Moscow Power Engineering Institute”
- Edição: Volume 52, Nº 2 (2016)
- Páginas: 197-209
- Seção: 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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Resumo
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.
Sobre autores
E. Baderko
Lomonosov Moscow State University; National Research University “Moscow Power Engineering Institute”
Autor responsável pela correspondência
Email: baderko.ea@yandex.ru
Rússia, Moscow; Moscow
M. Cherepova
Lomonosov Moscow State University; National Research University “Moscow Power Engineering Institute”
Email: baderko.ea@yandex.ru
Rússia, Moscow; Moscow
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