Existence and blow-up studies of a p(x)-Laplacian parabolic equation with memory

被引：1

作者：

Narayanan, Lakshmipriya ^{[1
]}

Soundararajan, Gnanavel ^{[1
]}

机构：

[1] Cent Univ Kerala, Dept Math, Kasargod, Kerala, India

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 14期

关键词：

blowup; p(x)‐ Laplacian; variable exponents; viscoelastic term; weak solution; SEMILINEAR HEAT-EQUATION; NONEXISTENCE; THEOREMS;

D O I：

10.1002/mma.7144

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish existence and finite time blowup of weak solutions of a parabolic equation of p(x)-Laplacian type with the Dirichlet boundary condition. Moreover, we obtain upper and lower bounds for the blow-up time of solutions, by employing concavity method and differential inequality technique, respectively.

引用

页码：8412 / 8429

页数：18

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