Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in RN (N≥3)

被引：0
|
作者：
Gusheng Tang
Yuanfei Li
Xitao Yang
机构：
[1] Hunan University of Science and Technology,Department of Mathematics
[2] Guangdong University of Finance and Economics,Huashang College
来源：
Boundary Value Problems | / 2014卷
关键词：
blow-up; lower bounds; non-local reaction diffusion problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with the blow-up of the solution to a non-local reaction diffusion problem in RN for N≥3 under nonlinear boundary conditions. Utilizing the technique of a differential inequality, lower bounds for the blow-up time are derived when the blow-up does occur under some suitable assumptions.
引用
收藏
相关论文
共 50 条
  • [41] BOUNDS FOR BLOW-UP TIME IN NONLINEAR PARABOLIC SYSTEMS
    Marras, Monica
    Piro, Stella Vernier
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 : 1025 - 1031
  • [42] Blow-up for the non-local p-Laplacian equation with a reaction term
    Ferreira, Raul
    Perez-Llanos, Mayte
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (14) : 5499 - 5522
  • [43] A refined criterion and lower bounds for the blow-up time in a parabolic-elliptic chemotaxis system with nonlinear diffusion
    Marras, Monica
    Nishino, Teruto
    Viglialoro, Giuseppe
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 195
  • [44] Finite-time blow-up of a non-local stochastic parabolic problem
    Kavallaris, Nikos, I
    Yan, Yubin
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 130 (09) : 5605 - 5635
  • [45] LOWER BOUNDS ESTIMATE FOR THE BLOW-UP TIME OF A NONLINEAR NONLOCAL POROUS MEDIUM EQUATION
    刘灯明
    穆春来
    辛巧
    ActaMathematicaScientia, 2012, 32 (03) : 1206 - 1212
  • [46] Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
    Peng, Xiaoming
    Shang, Yadong
    Zheng, Xiaoxiao
    APPLIED MATHEMATICS LETTERS, 2018, 76 : 66 - 73
  • [47] Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources
    Sun, Lili
    Ren, Yuxue
    Gao, Wenjie
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (01) : 267 - 277
  • [48] LOWER BOUNDS ESTIMATE FOR THE BLOW-UP TIME OF A NONLINEAR NONLOCAL POROUS MEDIUM EQUATION
    Liu Dengming
    Mu Chunlai
    Xin Qiao
    ACTA MATHEMATICA SCIENTIA, 2012, 32 (03) : 1206 - 1212
  • [49] Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
    Peng, Xiaoming
    Zheng, Xiaoxiao
    Shang, Yadong
    AIMS MATHEMATICS, 2018, 3 (04): : 514 - 523
  • [50] Uniform blow-up profile and boundary behaviour for a non-local reaction-diffusion equation with critical damping
    Souplet, P
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (15) : 1819 - 1829
12345