Remarks on Blow-Up Phenomena in p-Laplacian Heat Equation with Inhomogeneous Nonlinearity

被引：3

作者：

Alzahrani, Eadah Ahma

Majdoub, Mohamed ^{[1
]}

机构：

[1] Imam Abdulrahman Bin Faisal Univ, Dept Math, Coll Sci, POB 1982, Dammam, Saudi Arabia

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 34卷 / 01期

关键词：

Parabolic problems; p-Laplacian equation; blow-up; positive initial energy; PARABOLIC EQUATIONS; NONEXISTENCE; EXISTENCE;

D O I：

10.4208/jpde.v34.n1.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the p-Laplace heat equation u(t)-Delta(p)u=zeta(t) f (u) in a bounded smooth domain. Using differential-inequality arguments, we prove blow-up results under suitable conditions on zeta, f, and the initial datum u(0). We also give an upper bound for the blow-up time in each case.

引用

页码：42 / 50

页数：9

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