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

被引：0

作者：

Chen, Youpeng ^{[1
]}

Liu, Xingying ^{[2
]}

机构：

[1] Nanjing Normal Inst Special Educ, Sch Math & Informat Sci, Nanjing 210038, Peoples R China

[2] Yancheng Normal Univ, Sch Math & Stat, Yancheng 224002, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2020年 / 124卷 / 01期

关键词：

degenerate parabolic equation; free boundary; blowup; global fast solution; global slow solution; INSTABILITY; STABILITY; BEHAVIOR; GROWTH; SYSTEM; MODEL;

D O I：

10.4064/ap171230-26-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1 / 31

页数：31

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