Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2017, Volume 101, Issue 6, Pages 860–870
DOI: https://doi.org/10.4213/mzm11370 (Mi mzm11370) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Stabilization to Zero of the Solutions of the Inverse Problem for a Degenerate Parabolic Equation with Two Independent Variables

V. L. Kamynin

National Engineering Physics Institute "MEPhI", Moscow
Full-text PDF (508 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm11370
Abstract: Theorems on the stabilization to zero as $t\to +\infty$ of solutions of the inverse problem of determining the unknown right-hand side of a degenerate parabolic equation with one space variable belonging to a bounded closed interval are proved under an integral observation condition. Further, it is assumed that the coefficients of the equation are unbounded. These theorems can be used to obtain an upper bound for the stabilization rate. The paper contains examples of equations for which the assumptions of the theorems hold, as well as an example showing that such assumptions are essential.
Keywords: degenerate parabolic equation, asymptotic behavior, inverse problem.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.a03.21005
This work was supported by the Program for Increasing the Competitiveness of NRNU MEPhI (grant no. 02.a03.21005 of 27.08.2013).
Received: 26.03.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 6, Pages 974–983
DOI: https://doi.org/10.1134/S0001434617050248
Bibliographic databases:
Document Type: Article
UDC: 517.95
PACS: 02.30.Zz
Language: Russian
Citation: V. L. Kamynin, “On the Stabilization to Zero of the Solutions of the Inverse Problem for a Degenerate Parabolic Equation with Two Independent Variables”, Mat. Zametki, 101:6 (2017), 860–870; Math. Notes, 101:6 (2017), 974–983
Citation in format AMSBIB
\Bibitem{Kam17}
\by V.~L.~Kamynin
\paper On the Stabilization to Zero of the Solutions of the Inverse Problem for a Degenerate Parabolic Equation with Two Independent Variables
\jour Mat. Zametki
\yr 2017
\vol 101
\issue 6
\pages 860--870
\mathnet{http://mi.mathnet.ru/mzm11370}
\crossref{https://doi.org/10.4213/mzm11370}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3659558}
\elib{https://elibrary.ru/item.asp?id=29255111}
\transl
\jour Math. Notes
\yr 2017
\vol 101
\issue 6
\pages 974--983
\crossref{https://doi.org/10.1134/S0001434617050248}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000404236900024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85021272015}
Linking options:
  • https://www.mathnet.ru/eng/mzm11370
  • https://doi.org/10.4213/mzm11370
  • https://www.mathnet.ru/eng/mzm/v101/i6/p860
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024