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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
English version PDF (646 kB) Citations (51)
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DOI: https://doi.org/10.1070/RM2005v060n04ABEH003675
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.
Russian version:
Uspekhi Matematicheskikh Nauk, 2005, Volume 60, Issue 4(364), Pages 145–212
DOI: https://doi.org/10.4213/rm1448
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”, Uspekhi Mat. Nauk, 60:4(364) (2005), 145–212; Russian Math. Surveys, 60:4 (2005), 721–790
Citation in format AMSBIB
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  • 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
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    References:89
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