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Mathematics of the USSR-Sbornik, 1978, Volume 34, Issue 4, Pages 521–526
DOI: https://doi.org/10.1070/SM1978v034n04ABEH001226 (Mi sm2545) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the Dirichlet problem for Bellman's equation in a plane domain

M. V. Safonov
English version PDF (366 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/SM1978v034n04ABEH001226
Abstract: The Dirichlet problem for Bellman's equation in a plane domain is considered. It is proved that under certain restrictions regarding smoothness, “weak” nondegeneracy, and nondegeneracy along the normal to the boundary of the domain this problem has a generalized solution. Under additional conditions regarding smoothness the solution is also smooth.
Bibliography: 2 titles.
Received: 08.06.1977
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1978, Volume 105(147), Number 4, Pages 594–600
Bibliographic databases:
UDC: 517.544+519.2
MSC: Primary 35Q99, 35D05, 35B45; Secondary 35D10, 60H15
Language: English
Original paper language: Russian
Citation: M. V. Safonov, “On the Dirichlet problem for Bellman's equation in a plane domain”, Mat. Sb. (N.S.), 105(147):4 (1978), 594–600; Math. USSR-Sb., 34:4 (1978), 521–526
Citation in format AMSBIB
\Bibitem{Saf78}
\by M.~V.~Safonov
\paper On the Dirichlet problem for Bellman's equation in a~plane domain
\jour Mat. Sb. (N.S.)
\yr 1978
\vol 105(147)
\issue 4
\pages 594--600
\mathnet{http://mi.mathnet.ru/sm2545}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=496596}
\zmath{https://zbmath.org/?q=an:0407.35042|0442.35036}
\transl
\jour Math. USSR-Sb.
\yr 1978
\vol 34
\issue 4
\pages 521--526
\crossref{https://doi.org/10.1070/SM1978v034n04ABEH001226}
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    • This publication is cited in the following 6 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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    References:44
     
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