Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 5, Pages 44–49 (Mi vmumm180)  
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Regularity of solutions to Dirichlet boundary value problem in domains on a manifold

I. V. Tsylin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The regularity of solutions to the Dirchlet boundary value problem is studied for elliptic differential operators of order $2m$ defined on subdomains of a manifold. Relationships between the smoothness of the right hand side, the boundary, and the solutions are obtained.
Key words: elliptic operators, Dirichlet problem, Nikolskii–Besov spaces, pointwise multipliers.
Received: 18.11.2015
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 5, Pages 204–207
DOI: https://doi.org/10.3103/S0027132216050065
Bibliographic databases:
Document Type: Article
UDC: 517.982.25+517.984
Language: Russian
Citation: I. V. Tsylin, “Regularity of solutions to Dirichlet boundary value problem in domains on a manifold”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 5, 44–49; Moscow University Mathematics Bulletin, 71:5 (2016), 204–207
Citation in format AMSBIB
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