Simple layer potential and the first boundary value problem for a parabolic system on the plane


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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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