Email this article Uniqueness of a solution to the Cauchy problem for parabolic systems
- 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 93, No 3 (2016)
- Pages: 316-317
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223843
- DOI: https://doi.org/10.1134/S1064562416030261
- ID: 223843
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Abstract
The Cauchy problem for a second-order Petrovskii parabolic system with bounded and continuous coefficients that are Dini-continuous with respect to space variables is proved to have a unique classical solution in the Tikhonov class.
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, ul. Krasnokazarmennaya 14, Moscow, 111250
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