Asymptotic properties of singular solutions in degenerate parabolic equation with boundary flux

被引：0

作者：

Liu, Bingchen ^{[1
]}

Dong, Mengzhen ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao, Peoples R China

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 11期

关键词：

Degenerate parabolic equation; blow-up rate; quenching rate; blow-up set; quenching set; BLOW-UP; PROFILE; TIME;

D O I：

10.1080/00036811.2018.1553032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with blow-up and quenching solutions of degenerate parabolic problem involvingm-Laplacian operator and nonlinear boundary flux. The blow-up and quenching criteria are classified under the conditions on the initial data but with less conditions on the relationship among the exponents, respectively. Moreover, asymptotic properties including singular rates, set and time estimates are determined for the blow-up solutions and the quenching solutions, respectively.

引用

页码：1986 / 1999

页数：14

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