Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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) Russian version article
References:
PDF
HTML
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
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”, 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 Math. USSR-Sb.
\yr 1978
\vol 34
\issue 4
\pages 521--526
\mathnet{http://mi.mathnet.ru//eng/sm2545}
\crossref{https://doi.org/10.1070/SM1978v034n04ABEH001226}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=496596}
\zmath{https://zbmath.org/?q=an:0407.35042|0442.35036}
Linking options:
  • https://www.mathnet.ru/eng/sm2545
  • https://doi.org/10.1070/SM1978v034n04ABEH001226
  • https://www.mathnet.ru/eng/sm/v147/i4/p594
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024