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

[1] On blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
Wang, Hua
He, Yijun
APPLIED MATHEMATICS LETTERS, 2013, 26 (10) : 1008 - 1012
[2] Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
Wu, Xiulan
Guo, Bin
Gao, Wenjie
APPLIED MATHEMATICS LETTERS, 2013, 26 (05) : 539 - 543
[3] Blow-up for a thin-film equation with positive initial energy
Zhou, Jun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 446 (01) : 1133 - 1138
[4] Blow-up in a semilinear parabolic problem with variable source under positive initial energy
Khelghati, Ali
Baghaei, Khadijeh
APPLICABLE ANALYSIS, 2015, 94 (09) : 1888 - 1896
[5] The blow-up of solutions for m-Laplacian equations with variable sources under positive initial energy
Wu, Xiulan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (09) : 2516 - 2524
[6] Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
Gao, Wenjie
Han, Yuzhu
APPLIED MATHEMATICS LETTERS, 2011, 24 (05) : 784 - 788
[7] Blow-up phenomena for a doubly degenerate equation with positive initial energy
Mu, Chunlai
Zeng, Rong
Chen, Botao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 782 - 793
[8] A blow-up result for nonlocal thin-film equation with positive initial energy
Polat, Mustafa
TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (03) : 1797 - 1807
[9] Blow-up of a nonlocal p-Laplacian evolution equation with critical initial energy
Liu, Yang
Da, Chaojiu
Lv, Pengju
ANNALES POLONICI MATHEMATICI, 2016, 117 (01) : 89 - 99
[10] Blow-up phenomena for a nonlocal semilinear parabolic equation with positive initial energy
Khelghati, Ali
Baghaei, Khadijeh
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (05) : 896 - 902

← 1 2 3 4 5 →