Upper bounds of blow-up time and blow-up rate for a semi-linear edge-degenerate parabolic equation

被引：6
作者：
Xu, Guangyu [1 ]
Zhou, Jun [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 73卷
基金：
中国博士后科学基金;
关键词：
Semi-linear edge-degenerate; parabolic equation; Blow-up time; Blow-up rate; POSITIVE INITIAL ENERGY; THIN-FILM EQUATION; VARIABLE SOURCE;
D O I：
10.1016/j.aml.2017.04.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper gives the upper bounds of blow-up time and blow-up rate for a semi-linear edge-degenerate parabolic equation, and the results extend the results of a recent paper Chen and Liu (2016). (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 7
页数：7
相关论文
共 11 条
  • [1] [Anonymous], APPL ANAL
  • [2] ASYMPTOTIC STABILITY AND BLOW-UP OF SOLUTIONS FOR SEMI-LINEAR EDGE-DEGENERATE PARABOLIC EQUATIONS WITH SINGULAR POTENTIALS
    Chen, Hua
    Liu, Nian
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (02) : 661 - 682
  • [3] Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
    Gao, Wenjie
    Han, Yuzhu
    [J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (05) : 784 - 788
  • [4] A new blow-up condition for semi-linear edge degenerate parabolic equation with singular potentials
    Hao, Aijing
    Zhou, Jun
    [J]. APPLICABLE ANALYSIS, 2017, 96 (03) : 363 - 374
  • [5] Blow-up of solutions for the sixth-order thin film equation with positive initial energy
    Liu, Wenjun
    Chen, Kewang
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2015, 85 (04): : 577 - 582
  • [6] Luo P., 2014, MATH METHOD APPL SCI, V38, P736
  • [7] Blow-up phenomena for some nonlinear pseudo-parabolic equations
    Peng, Xiaoming
    Shang, Yadong
    Zheng, Xiaoxiao
    [J]. APPLIED MATHEMATICS LETTERS, 2016, 56 : 17 - 22
  • [8] Blow-Up in a Slow Diffusive p-Laplace Equation with the Neumann Boundary Conditions
    Qu, Chengyuan
    Liang, Bo
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [9] On blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
    Wang, Hua
    He, Yijun
    [J]. APPLIED MATHEMATICS LETTERS, 2013, 26 (10) : 1008 - 1012
  • [10] Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
    Wu, Xiulan
    Guo, Bin
    Gao, Wenjie
    [J]. APPLIED MATHEMATICS LETTERS, 2013, 26 (05) : 539 - 543
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