Upper bound estimate for the blow-up time of an evolution m-Laplace equation involving variable source and positive initial energy

被引：16

作者：

Zhou, Jun ^{[1
]}

Yang, Di ^{[2
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] China West Normal Univ, Sch Foreign Languages, Nanchong 637009, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2015年 / 69卷 / 12期

基金：

中国博士后科学基金;

关键词：

Evolution m-Laplace equation; Positive initial energy; Blow-up; Blow-up time; SEMILINEAR PARABOLIC EQUATION; CRITICAL EXPONENTS; GLOBAL-SOLUTIONS; NONEXISTENCE; EXISTENCE;

D O I：

10.1016/j.camwa.2015.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study an evolution m-Laplace equation involving variable source and positive initial energy. We establish a blow-up result for a certain solution with positive initial energy and estimate the upper bound of the blow-up time for the blowing up solutions. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：1463 / 1469

页数：7

共 46 条

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