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Sbornik: Mathematics, 2005, Volume 196, Issue 11, Pages 1693–1713
DOI: https://doi.org/10.1070/SM2005v196n11ABEH003727 (Mi sm1397) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Removability of isolated singularities of solutions of quasilinear parabolic equations with absorption

I. I. Skrypnik

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
English version PDF (225 kB) Citations (8)
References:
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DOI: https://doi.org/10.1070/SM2005v196n11ABEH003727
Abstract: This paper is devoted to the investigation of solutions with point singularities for a general quasilinear parabolic equation with absorption. A method for the derivation of new pointwise estimates of a solution and integral estimates of its gradient is developed. Precise conditions on the behaviour of the term characterizing the absorption in the equation that ensure the non-existence of solutions with point singularities are established. The cases of solutions with singularities in the initial plane and in the interior of the domain are considered.
Received: 25.11.2004
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 11, Pages 141–160
DOI: https://doi.org/10.4213/sm1397
Bibliographic databases:
UDC: 517.946
MSC: 35B60, 35K55
Language: English
Original paper language: Russian
Citation: I. I. Skrypnik, “Removability of isolated singularities of solutions of quasilinear parabolic equations with absorption”, Mat. Sb., 196:11 (2005), 141–160; Sb. Math., 196:11 (2005), 1693–1713
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2005v196n11ABEH003727
  • https://www.mathnet.ru/eng/sm/v196/i11/p141
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:392
    Russian version PDF:180
    English version PDF:6
    References:37
    First page:1
     
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