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.
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页码：1463 / 1469
页数：7
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