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Sbornik: Mathematics, 2012, Volume 203, Issue 1, Pages 60–74
DOI: https://doi.org/10.1070/SM2012v203n01ABEH004213 (Mi sm7800) 		 
Existence of boundary values of solutions of elliptic equations in a strip

V. P. Mikhailov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (273 kB) Russian version article
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DOI: https://doi.org/10.1070/SM2012v203n01ABEH004213
Abstract: Given a linear constant-coefficient elliptic equation of arbitrary order on a two-dimensional strip, a criterion is obtained for the existence of the mean-square limits of its solutions on the boundary of the strip.
Bibliography: 2 titles.
Keywords: elliptic equation, boundary value, Hilbert space, projection operator.
Funding agency Grant number
Russian Foundation for Basic Research 07-01-00144_а
Ministry of Education and Science of the Russian Federation НШ-3224.2008.1
Received: 14.10.2010
Bibliographic databases:
Document Type: Article
UDC: 517.956.2
MSC: 35J67
Language: English
Original paper language: Russian
Citation: V. P. Mikhailov, “Existence of boundary values of solutions of elliptic equations in a strip”, Sb. Math., 203:1 (2012), 60–74
Citation in format AMSBIB
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