Email this article Smoothness in the Dini Space of a Single Layer Potential for a Parabolic System in the Plane
- Authors: Baderko E.A.1, Cherepova M.F.2
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Affiliations:
- Lomonosov Moscow State University
- National Research University “Moscow Power Engineering Institute”
- Issue: Vol 235, No 2 (2018)
- Pages: 154-167
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242078
- DOI: https://doi.org/10.1007/s10958-018-4065-9
- ID: 242078
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Abstract
We prove estimates in the Dini space for the second order spatial derivative of a vector parabolic single layer potential. We obtain estimates for higher order derivatives of solutions to initial-boundary-value problems for one-dimensional parabolic systems with Dini-continuous coefficients in a curvilinear domain with nonsmooth lateral boundary.
About the authors
E. A. Baderko
Lomonosov Moscow State University
Email: CherepovaMF@mpei.ru
Russian Federation, 1, Leninskie Gory, Moscow, 119991
M. F. Cherepova
National Research University “Moscow Power Engineering Institute”
Author for correspondence.
Email: CherepovaMF@mpei.ru
Russian Federation, 14, Krasnokazarmennaya St., Moscow, 111250
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