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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 66–80
DOI: https://doi.org/10.33048/semi.2022.19.006 (Mi semr1481) 		 
Real, complex and functional analysis

Asymptotic behavior of solutions of the Dirichlet problem for the Poisson equation on model Riemannian manifolds

A. G. Losev, E. A. Mazepa

Volgograd State Univercity, 100, Universitetsky ave., Volgograd, 400062, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.006
Abstract: The paper is devoted to estimating the speed of approximation of solutions of the Dirichlet problem for the Poisson equation on non-compact model Riemannian manifolds to their boundary data at "infinity". Quantitative characteristics that estimate the speed of the approximation are found in terms of the metric of the manifold and the smoothness of the inhomogeneity in the Poisson equation.
Keywords: Dirichlet problem, Poisson equation, model Riemannian manifold, asymptotic behavior.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0633-2020-0003
The work was carried out with partial financial support of Ministry of Science and Higher Education of the Russian Federation (gov. assignment No. 0633-2020-0003).
Received February 9, 2021, published January 21, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 31C12
Language: English
Citation: A. G. Losev, E. A. Mazepa, “Asymptotic behavior of solutions of the Dirichlet problem for the Poisson equation on model Riemannian manifolds”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 66–80
Citation in format AMSBIB
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\paper Asymptotic behavior of solutions of the Dirichlet problem for the Poisson equation on model Riemannian manifolds
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\yr 2022
\vol 19
\issue 1
\pages 66--80
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