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Mathematics of the USSR-Sbornik, 1971, Volume 15, Issue 2, Pages 241–260
DOI: https://doi.org/10.1070/SM1971v015n02ABEH001543 (Mi sm3294) 		 
This article is cited in 17 scientific papers (total in 17 papers)

On boundary values of generalized solutions of elliptic equations

Ya. A. Roitberg
English version PDF (1081 kB) Citations (17)
References:
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DOI: https://doi.org/10.1070/SM1971v015n02ABEH001543
Abstract: It is known that if an analytic function on the disk has exponential growth approaching the boundary, then it has generalized boundary values with which by means of Poisson kernels one can regenerate the function. In this work it is proved that similar properties are also possessed by the generalized solutions of elliptic equations in a bounded region of $n$-dimensional space. The main results were announced earlier (see RZhMat., 1970, 2B409).
Bibliography: 18 titles.
Received: 20.10.1970
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1971, Volume 86(128), Number 2(10), Pages 248–267
Bibliographic databases:
UDC: 517.946
MSC: Primary 35J40; Secondary 46E35
Language: English
Original paper language: Russian
Citation: Ya. A. Roitberg, “On boundary values of generalized solutions of elliptic equations”, Mat. Sb. (N.S.), 86(128):2(10) (1971), 248–267; Math. USSR-Sb., 15:2 (1971), 241–260
Citation in format AMSBIB
\Bibitem{Roi71}
\by Ya.~A.~Roitberg
\paper On boundary values of generalized solutions of elliptic equations
\jour Mat. Sb. (N.S.)
\yr 1971
\vol 86(128)
\issue 2(10)
\pages 248--267
\mathnet{http://mi.mathnet.ru/sm3294}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=315264}
\zmath{https://zbmath.org/?q=an:0221.35014}
\transl
\jour Math. USSR-Sb.
\yr 1971
\vol 15
\issue 2
\pages 241--260
\crossref{https://doi.org/10.1070/SM1971v015n02ABEH001543}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:335
    Russian version PDF:118
    English version PDF:18
    References:48
     
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