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Matematicheskie Zametki, 2019, Volume 106, Issue 4, Pages 622–635
DOI: https://doi.org/10.4213/mzm12143 (Mi mzm12143) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations

A. E. Shishkovab, Y. A. Yevgenievab

a Peoples' Friendship University of Russia, Moscow
b Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine
Full-text PDF (556 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm12143
Abstract: Singular blow-up regimes are studied for a wide class of second-order quasilinear parabolic equations. Energy methods are used to obtain exact (in a certain sense) estimates of the final profile of the generalized solution near the blow-up time depending on the rate of increase of the global energy of this solution.
Keywords: quasilinear parabolic equations, energy solutions, blow-up regimes.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 5-100
The work of the first-named author was supported by the “5-100” program of RUDN University.
Received: 31.07.2018
Revised: 07.03.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 4, Pages 639–650
DOI: https://doi.org/10.1134/S000143461909030X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. E. Shishkov, Y. A. Yevgenieva, “Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations”, Mat. Zametki, 106:4 (2019), 622–635; Math. Notes, 106:4 (2019), 639–650
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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