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Sbornik: Mathematics, 2004, Volume 195, Issue 3, Pages 413–440
DOI: https://doi.org/10.1070/SM2004v195n03ABEH000810 (Mi sm810) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Stabilization of the norm of the solution of a mixed problem in an unbounded domain for parabolic equations of orders 4 and 6

F. Kh. Mukminov, I. M. Bikkulov

Sterlitamak State Pedagogical Institute
English version PDF (267 kB) Citations (14)
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DOI: https://doi.org/10.1070/SM2004v195n03ABEH000810
Abstract: The behaviour as $t\to\infty$ of the solution of a mixed problem for parabolic equations in an unbounded domain with two exits to infinity is studied. A certain class of domains is distinguished, in which an estimate characterizing the stabilization of solutions and determined by the geometry of the domain is established. This estimate is proved to be sharp in a certain sense for a broad class of domains with two exits to infinity.
Received: 21.07.2003
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 3, Pages 115–142
DOI: https://doi.org/10.4213/sm810
Bibliographic databases:
UDC: 517.956.4
MSC: 35K25, 35B40
Language: English
Original paper language: Russian
Citation: F. Kh. Mukminov, I. M. Bikkulov, “Stabilization of the norm of the solution of a mixed problem in an unbounded domain for parabolic equations of orders 4 and 6”, Mat. Sb., 195:3 (2004), 115–142; Sb. Math., 195:3 (2004), 413–440
Citation in format AMSBIB
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\issue 3
\pages 115--142
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  • https://www.mathnet.ru/eng/sm/v195/i3/p115
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:77
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