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Mathematics of the USSR-Sbornik, 1984, Volume 48, Issue 2, Pages 287–305
DOI: https://doi.org/10.1070/SM1984v048n02ABEH002675 (Mi sm2131) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On certain generalizations of the Dirichlet problem

Yu. A. Rozanov
English version PDF (993 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM1984v048n02ABEH002675
Abstract: A characterization is given of boundary conditions for linear differential operators in a domain with arbitrary boundary, and these conditions are used to state a boundary-value problem in a suitable function class. It is proved that this “generalized Dirichlet problem” has a unique solution which depends continuously on the boundary conditions.
Bibliography: 3 titles.
Received: 22.04.1982
Bibliographic databases:
UDC: 517.544
MSC: Primary 35A05, 35D05, 35G15, 35B30; Secondary 31B20, 46E35, 44F05, 60G60, 60J99
Language: English
Original paper language: Russian
Citation: Yu. A. Rozanov, “On certain generalizations of the Dirichlet problem”, Math. USSR-Sb., 48:2 (1984), 287–305
Citation in format AMSBIB
\Bibitem{Roz83}
\by Yu.~A.~Rozanov
\paper On certain generalizations of the Dirichlet problem
\jour Math. USSR-Sb.
\yr 1984
\vol 48
\issue 2
\pages 287--305
\mathnet{http://mi.mathnet.ru//eng/sm2131}
\crossref{https://doi.org/10.1070/SM1984v048n02ABEH002675}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=691979}
\zmath{https://zbmath.org/?q=an:0574.60067}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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