A gradient estimate to a degenerate parabolic equation with a singular absorption term: The global quenching phenomena
A gradient estimate to a degenerate parabolic equation with a singular absorption term: The global quenching phenomena
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DOI：
10.1016/j.jmaa.2015.11.059
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发表时间：
2016-05
影响因子：
1.3
通讯作者：
N. Dao;J. I. Díaz
中科院分区：
文献类型：
--
作者：
N. Dao;J. I. Díaz
我们证明了包含奇异项的一维简并抛物线问题的非负解的全局存在性。我们还展示了 L 1 初始基准的全局淬灭现象。此外，本文还考虑了自由边界问题。
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 L 1 initial datums. Moreover, the free boundary problem is considered in this paper.