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Matematicheskie Zametki, 2009, Volume 85, Issue 3, Pages 395–407
DOI: https://doi.org/10.4213/mzm4100 (Mi mzm4100) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Local and Global Estimates of the Solutions of the Cauchy Problem for Quasilinear Parabolic Equations with a Nonlinear Operator of Baouendi–Grushin Type

V. A. Markasheva, A. F. Tedeev

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
Full-text PDF (517 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm4100
Abstract: In this paper, the qualitative properties of the solutions of the Cauchy problem for degenerate parabolic equations with a nonlinear operator of Baouendi–Grushin type are studied. Sharp local and global (with respect to the spatial and temporal variables) estimates of the solution are obtained. The property of the finiteness of the support of the solution is established.
Keywords: quasilinear parabolic equation, nonlinear operator, Cauchy problem, Carnot–Carathéodory space, Young's inequality, maximum principle.
Received: 16.03.2007
English version:
Mathematical Notes, 2009, Volume 85, Issue 3, Pages 385–396
DOI: https://doi.org/10.1134/S0001434609030092
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: V. A. Markasheva, A. F. Tedeev, “Local and Global Estimates of the Solutions of the Cauchy Problem for Quasilinear Parabolic Equations with a Nonlinear Operator of Baouendi–Grushin Type”, Mat. Zametki, 85:3 (2009), 395–407; Math. Notes, 85:3 (2009), 385–396
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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