Global existence and blowup for a degenerate parabolic equation with a free boundary

Chen Youpeng; Liu Xingying

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Global existence and blowup for a degenerate parabolic equation with a free boundary

机译：全球的存在和退化的崩溃抛物型方程的自由边界

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This paper deals with a free boundary problem for a degenerate parabolic equation. For such a problem, we mainly study the blowup property and global existence of solutions. Our results show that blowup occurs if the initial datum is sufficiently large, while the solution is global and fast if the initial data is sufficiently small, and that the existence of a global slow solution is possible when the initial data is suitably large.

机译：本文处理的自由边界问题一个退化抛物型方程。问题,我们主要是研究爆炸属性和全球解决方案的存在。如果初始基准面,发生爆炸足够大,是全球性的解决方案和快速的初始数据是否足够小,全球放缓的存在解决方案是可能的初始数据时适当的大。

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来源
《Annales Polonici Mathematici》 |2020年第1期|1-31|共31页
作者
Chen Youpeng; Liu Xingying;
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作者单位

Nanjing Normal Inst Special Educ, Sch Math & Informat Sci, Nanjing 210038, Peoples R China;

Yancheng Normal Univ, Sch Math & Stat, Yancheng 224002, Peoples R China;

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正文语种英语
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关键词
free boundaries; parabolic equations; ExplosionsDegenerateRAW DATA;

机译：自由边界;抛物线方程;ExplosionsDegenerateRAW数据;

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Global existence and blowup for a degenerate parabolic equation with a free boundary

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