Email this article Solution of the Bitsadze–Samarskii problem for a parabolic system in a semibounded domain
- Authors: Baderko E.A.1, Cherepova M.F.2
-
Affiliations:
- Lomonosov Moscow State University
- National Research University “Moscow Power Engineering Institute,”
- Issue: Vol 53, No 10 (2017)
- Pages: 1294-1302
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154587
- DOI: https://doi.org/10.1134/S0012266117100068
- ID: 154587
Cite item
Open Access
Access granted
Subscription Access
Abstract
We consider a nonlocal initial–boundary value Bitsadze–Samarskii problem for a spatially one-dimensional parabolic second-order system in a semibounded domain with nonsmooth lateral boundary. The boundary integral equation method is used to construct a classical solution of this problem under the condition that the vector function on the right-hand side in the nonlocal boundary condition only has a continuous derivative of order 1/2 vanishing at t = 0. The smoothness of the solution is studied.
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,”
Email: baderko.ea@yandex.ru
Russian Federation, Moscow, 111250
Supplementary files
