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, 2020, Volume 494, Pages 5–8
DOI: https://doi.org/10.31857/S2686954320050288 (Mi danma106) 		 
This article is cited in 6 scientific papers (total in 6 papers)

MATHEMATICS

Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries

E. A. Baderkoa, M. F. Cherepovab

a Lomonosov Moscow State University, Moscow Center for Fundamental and Applied Mathematics, Moscow, Russian Federation
b National Research University "Moscow Power Engineering Institute", Moscow, Russian Federation
Full-text PDF (110 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954320050288
Abstract: We consider initial boundary value problems with boundary conditions of the first or second kind for one-dimensional (with respect to a spatial variable) Petrovskii parabolic systems of the second order with variable coefficients in a bounded domain with nonsmooth lateral boundaries. The uniqueness of regular solutions to these problems in the class of functions that are continuous in the closure of the domain together with their first spatial derivatives is established using the boundary integral equation method.
Keywords: parabolic systems, initial boundary value problems, uniqueness of regular solutions, nonsmooth lateral boundaries.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation FSWF-2020-0022
Cherepova's work was performed under the state assignment of the Ministry of Science and Higher Education of the Russian Federation, project no. FSWF-2020-0022.
Presented: E. I. Moiseev
Received: 10.07.2020
Revised: 10.07.2020
Accepted: 30.07.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 2, Pages 357–359
DOI: https://doi.org/10.1134/S1064562420050269
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
Language: Russian
Citation: E. A. Baderko, M. F. Cherepova, “Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 5–8; Dokl. Math., 102:2 (2020), 357–359
Citation in format AMSBIB
\Bibitem{BadChe20}
\by E.~A.~Baderko, M.~F.~Cherepova
\paper Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 494
\pages 5--8
\mathnet{http://mi.mathnet.ru/danma106}
\crossref{https://doi.org/10.31857/S2686954320050288}
\zmath{https://zbmath.org/?q=an:1477.35093}
\elib{https://elibrary.ru/item.asp?id=44344637}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 2
\pages 357--359
\crossref{https://doi.org/10.1134/S1064562420050269}
Linking options:
  • https://www.mathnet.ru/eng/danma106
  • https://www.mathnet.ru/eng/danma/v494/p5
    • 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
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:97
    Full-text PDF :75
    References:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024