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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
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.
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
Linking options:
https://www.mathnet.ru/eng/rm1448https://doi.org/10.1070/RM2005v060n04ABEH003675 https://www.mathnet.ru/eng/rm/v60/i4/p145
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Abstract page: | 1210 | Russian version PDF: | 436 | English version PDF: | 38 | References: | 96 | First page: | 2 |
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