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A gradient estimate to a degenerate parabolic equation with a singular absorption term: The global quenching phenomena

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Dao, N. A. and Díaz Díaz, Jesús Ildefonso (2016) A gradient estimate to a degenerate parabolic equation with a singular absorption term: The global quenching phenomena. Journal of Mathematical Analysis and Applications, 437 . pp. 445-473. ISSN 0022-247X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X15011324


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Abstract

We prove global existence of nonnegative solutions to the one dimensional degenerate parabolic problems containing a singular term. We also show the global quenching phenomena for L1 initial datums. Moreover, the free boundary problem is considered in this paper.


Item Type:Article
Uncontrolled Keywords:Degenerate parabolic equations; Gradient estimate; Quenching phenomenon; L1-initial datum; Free boundary
Subjects:Sciences > Mathematics > Differential equations
ID Code:37710
Deposited On:19 May 2016 08:55
Last Modified:12 Dec 2018 15:06

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