Email this article Uniqueness of Solution to the First Initial Boundary Value Problem for Parabolic Systems on the Plane in a Model Case
- Authors: Baderko E.A.1, Cherepova M.F.2
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Affiliations:
- Faculty of Mechanics and Mathematics
- National Research University “Moscow Power Engineering Institute” (MPEI)
- Issue: Vol 98, No 3 (2018)
- Pages: 579-581
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225586
- DOI: https://doi.org/10.1134/S1064562418070128
- ID: 225586
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Abstract
The first initial boundary value problem for a one-dimensional (in x) Petrovskii parabolic second-order system with constant coefficients in a semibounded (in x) domain with a nonsmooth lateral boundary is proved to have a unique classical solution in certain Hölder classes.
About the authors
E. A. Baderko
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: baderko.ea@yandex.ru
Russian Federation, Moscow, 119992
M. F. Cherepova
National Research University “Moscow Power Engineering Institute” (MPEI)
Email: baderko.ea@yandex.ru
Russian Federation, Moscow, 111250
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