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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 301, Pages 48–52
DOI: https://doi.org/10.1134/S0371968518020048 (Mi tm3903) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the definitions of boundary values of generalized solutions to an elliptic-type equation

N. A. Gusevab

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b People's Friendship University of Russia (RUDN University), ul. Miklukho-Maklaya 6, Moscow, 117198 Russia
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DOI: https://doi.org/10.1134/S0371968518020048
Abstract: An elliptic-type equation with variable coefficients is considered. An overview is given of the definitions of boundary values of generalized solutions to this equation. Conditions for the existence of boundary values as well as conditions for the existence and uniqueness of solutions to the corresponding Dirichlet problem are analyzed.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 5-100
This work was supported by the RUDN University within the Russian Academic Excellence Project 5-100.
Received: September 15, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 301, Pages 39–43
DOI: https://doi.org/10.1134/S0081543818040041
Bibliographic databases:
Document Type: Article
UDC: 517.956.2+517.972.5
Language: Russian
Citation: N. A. Gusev, “On the definitions of boundary values of generalized solutions to an elliptic-type equation”, Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018, 48–52; Proc. Steklov Inst. Math., 301 (2018), 39–43
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    1. A. K. Gushchin, “Extensions of the space of continuous functions and embedding theorems”, Sb. Math., 211:11 (2020), 1551–1567  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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