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Sbornik: Mathematics, 2008, Volume 199, Issue 4, Pages 511–538
DOI: https://doi.org/10.1070/SM2008v199n04ABEH003931 (Mi sm3859) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Conditions for instantaneous support shrinking and sharp estimates for the support of the solution of the Cauchy problem for a doubly non-linear parabolic equation with absorption

S. P. Degtyarev

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
English version PDF (418 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM2008v199n04ABEH003931
Abstract: Instantaneous support shrinking is studied for a doubly non-linear degenerate parabolic equation in the case of slow diffusion when, in general, the Cauchy initial data are Radon measures. For a non-negative solution, a necessary and sufficient condition for instantaneous support shrinking is obtained in terms of the local behaviour of the mass of the initial data. In the same terms, estimates are obtained for the size of the support, that are sharp with respect to order.
Bibliography: 24 titles.
Received: 19.04.2007 and 04.10.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 4, Pages 37–64
DOI: https://doi.org/10.4213/sm3859
Bibliographic databases:
UDC: 517.956.45
MSC: 35K55, 35K65
Language: English
Original paper language: Russian
Citation: S. P. Degtyarev, “Conditions for instantaneous support shrinking and sharp estimates for the support of the solution of the Cauchy problem for a doubly non-linear parabolic equation with absorption”, Mat. Sb., 199:4 (2008), 37–64; Sb. Math., 199:4 (2008), 511–538
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:74
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