On a degenerate parabolic equation with nonlocal reaction term

被引:0
|
作者
Gmira, A [1 ]
Eloulaïmi, R [1 ]
机构
[1] Fac Sci, Dept Math, Tetouan, Morocco
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Existence, uniqueness and asymptotic behavior of the parabolic equation with nonlocal reaction term partial derivativeu/partial derivativet = div (\delu\(p-2) delu) + lambda\\u(.,t)\\(q)/1-u in Omega x RR+, p > 2, q > 1 and lambda > 0, are presented. It was proved that the global existence and the behavior depend strongly on the comparison between the initial data and the stationary solution.
引用
收藏
页码:223 / 237
页数:15
相关论文
共 50 条
  • [21] 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
  • [22] 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
  • [23] Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term
    Wang, Chunpeng
    Zhou, Yanan
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 30 (05):
  • [24] 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
  • [25] Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term
    Chunpeng Wang
    Yanan Zhou
    Nonlinear Differential Equations and Applications NoDEA, 2023, 30
  • [26] 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)
  • [27] Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition
    Zhong, Guangsheng
    Tian, Lixin
    BOUNDARY VALUE PROBLEMS, 2012, : 1 - 14
  • [28] Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition
    Guangsheng Zhong
    Lixin Tian
    Boundary Value Problems, 2012
  • [29] On a doubly degenerate parabolic equation with a nonlinear damping term
    Xu, Wenbin
    BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
  • [30] On a doubly degenerate parabolic equation with a nonlinear damping term
    Wenbin Xu
    Boundary Value Problems, 2021