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Russian Mathematical Surveys, 2005, Volume 60, Issue 4, Pages 721–790
DOI: https://doi.org/10.1070/RM2005v060n04ABEH003675
(Mi rm1448)
 

This article is cited in 51 scientific papers (total in 51 papers)

On the behaviour of solutions of parabolic equations for large values of time

V. N. Denisov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
References:
Abstract: This paper is a survey of classical and new results on stabilization of solutions of the Cauchy problem and mixed problems for second-order linear parabolic equations. Proofs are given for some new results about exact sufficient conditions on the behaviour of lower-order coefficients of the parabolic equation; these conditions ensure stabilization of a solution of the Cauchy problem for the parabolic equation in the class of bounded or increasing initial functions.
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: Primary 35K15, 35K20, 35B40; Secondary 35K05, 35B35
Language: English
Original paper language: Russian
Citation: V. N. Denisov, “On the behaviour of solutions of parabolic equations for large values of time”, Russian Math. Surveys, 60:4 (2005), 721–790
Citation in format AMSBIB
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\by V.~N.~Denisov
\paper On the behaviour of solutions of parabolic equations for large values of time
\jour Russian Math. Surveys
\yr 2005
\vol 60
\issue 4
\pages 721--790
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Linking options:
  • https://www.mathnet.ru/eng/rm1448
  • https://doi.org/10.1070/RM2005v060n04ABEH003675
  • https://www.mathnet.ru/eng/rm/v60/i4/p145
  • This publication is cited in the following 51 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:1215
    Russian version PDF:437
    English version PDF:39
    References:96
    First page:2
     
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