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

Author information: Dr. Dao Nguyen Anh, researcher of Applied Analysis Research Group of Ton Duc Thang University (AA-RG).

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

Journal information: The paper was published in the ISI journal Journal of Mathematical Analysis and Applications (its impact factor is 1.120 and H-index is 102).

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.

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