Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 503, Pages 64–66
DOI: https://doi.org/10.31857/S268695432202014X (Mi danma251) 		 
MATHEMATICS

Boundary problems for parabolic equations with degenerate boundary condition of the third kind

A. I. Kozhanova, A. N. Artyushina, V. V. Shubinb

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
References:
PDF
HTML
DOI: https://doi.org/10.31857/S268695432202014X
Abstract: The solvability of initial-boundary value problems for linear parabolic equations of the second order with a degenerate boundary value condition of the third kind is studied. Sufficient conditions for the existence and uniqueness of solutions are given. It is shown that the degeneration effect can lead to nonuniqueness of solutions in the space $W_2^{2,1}$.
Keywords: second-order parabolic equations, boundary value problems, degenerate boundary condition of the third kind, uniqueness and nonuniqueness of solutions, existence of solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-15-2019-1613
This work was supported by the Mathematical Center in Akademgorodok, agreement no. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation.
Presented: E. I. Moiseev
Received: 02.12.2021
Revised: 02.12.2021
Accepted: 03.02.2022
English version:
Doklady Mathematics, 2022, Volume 105, Issue 2, Pages 106–108
DOI: https://doi.org/10.1134/S1064562422020144
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. I. Kozhanov, A. N. Artyushin, V. V. Shubin, “Boundary problems for parabolic equations with degenerate boundary condition of the third kind”, Dokl. RAN. Math. Inf. Proc. Upr., 503 (2022), 64–66; Dokl. Math., 105:2 (2022), 106–108
Citation in format AMSBIB
\Bibitem{KozArtShu22}
\by A.~I.~Kozhanov, A.~N.~Artyushin, V.~V.~Shubin
\paper Boundary problems for parabolic equations with degenerate boundary condition of the third kind
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 503
\pages 64--66
\mathnet{http://mi.mathnet.ru/danma251}
\crossref{https://doi.org/10.31857/S268695432202014X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4448477}
\elib{https://elibrary.ru/item.asp?id=48506205 }
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 2
\pages 106--108
\crossref{https://doi.org/10.1134/S1064562422020144}
Linking options:
  • https://www.mathnet.ru/eng/danma251
  • https://www.mathnet.ru/eng/danma/v503/p64
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:223
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024