A note on blow-up of solutions for the nonlocal quasilinear parabolic equation with positive initial energy

被引:0
|
作者
Zhong Bo Fang
Lu Sun
Changjun Li
机构
[1] Ocean University of China,School of Mathematical Sciences
来源
关键词
Weak Solution; Parabolic Equation; Initial Energy; Initial Boundary; Homogeneous Dirichlet Boundary Condition;
D O I
暂无
中图分类号
学科分类号
摘要
In this short note, we consider a nonlocal quasilinear parabolic equation in a bounded domain with the Neumann-Robin boundary condition. We establish a blow-up result for a certain solution with positive initial energy.
引用
收藏
相关论文
共 50 条
  • [31] Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
    Messaoudi, Salim A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 320 (02) : 902 - 915
  • [32] Blow-up for a degenerate parabolic equation with nonlocal source and nonlocal boundary
    Mu, Chunlai
    Liu, Dengming
    Mi, Yongsheng
    APPLICABLE ANALYSIS, 2011, 90 (09) : 1373 - 1389
  • [33] NUMERICAL STUDY ON THE BLOW-UP RATE TO A QUASILINEAR PARABOLIC EQUATION
    Anada, Koichi
    Ishiwata, Tetsuya
    Ushijima, Takeo
    PROCEEDINGS OF EQUADIFF 2017 CONFERENCE, 2017, : 325 - 330
  • [34] Blow-up of solutions to quasilinear hyperbolic equations with p(x, t)-Laplacian and positive initial energy
    Guo, Bin
    Gao, Wenjie
    COMPTES RENDUS MECANIQUE, 2014, 342 (09): : 513 - 519
  • [36] Blow-up for a degenerate and singular parabolic equation with a nonlocal source
    Nitithorn Sukwong
    Panumart Sawangtong
    Sanoe Koonprasert
    Wannika Sawangtong
    Advances in Difference Equations, 2019
  • [37] Asymptotic blow-up behavior for a nonlocal degenerate parabolic equation
    Chen, Yujuan
    Gao, Hongjun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (02) : 852 - 863
  • [38] Existence and blow-up for a degenerate parabolic equation with nonlocal source
    Li, FC
    Xie, CH
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (02) : 523 - 534
  • [39] Blow-up for a degenerate and singular parabolic equation with a nonlocal source
    Sukwong, Nitithorn
    Sawangtong, Panumart
    Koonprasert, Sanoe
    Sawangtong, Wannika
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [40] Blow-Up of Solution and Energy Decay for a Quasilinear Parabolic Problem
    Li, Fang
    Zhang, Jingjing
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2024, 37 (03): : 263 - 277