Existence and blow-up studies of a p(x)-Laplacian parabolic equation with memory

被引：1
|
作者：
Narayanan, Lakshmipriya [1 ]
Soundararajan, Gnanavel [1 ]
机构：
[1] Cent Univ Kerala, Dept Math, Kasargod, Kerala, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 14期
关键词：
blowup; p(x)‐ Laplacian; variable exponents; viscoelastic term; weak solution; SEMILINEAR HEAT-EQUATION; NONEXISTENCE; THEOREMS;
D O I：
10.1002/mma.7144
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish existence and finite time blowup of weak solutions of a parabolic equation of p(x)-Laplacian type with the Dirichlet boundary condition. Moreover, we obtain upper and lower bounds for the blow-up time of solutions, by employing concavity method and differential inequality technique, respectively.
引用
收藏
页码：8412 / 8429
页数：18
相关论文
共 50 条
  • [41] Global Existence and Finite Time Blow-up for the m-Laplacian Parabolic Problem
    Yue PANG
    ■
    Run Zhang XU
    ActaMathematicaSinica,EnglishSeries, 2023, (08) : 1497 - 1524
  • [42] Global Existence and Finite Time Blow-up for the m-Laplacian Parabolic Problem
    Pang, Yue
    Radulescu, Vicentiu D.
    Xu, Run Zhang
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (08) : 1497 - 1524
  • [43] Global Existence and Finite Time Blow-up for the m-Laplacian Parabolic Problem
    Yue Pang
    Vicenţiu D. Rădulescu
    Run Zhang Xu
    Acta Mathematica Sinica, English Series, 2023, 39 : 1497 - 1524
  • [44] Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions
    Juntang Ding
    Journal of Inequalities and Applications, 2018
  • [45] Kelvin-Voight equation with p-Laplacian and damping term: Existence, uniqueness and blow-up
    Antontsev, S. N.
    Khompysh, Kh.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 446 (02) : 1255 - 1273
  • [46] EXISTENCE OF GLOBAL SOLUTIONS AND BLOW-UP FOR p-LAPLACIAN PARABOLIC EQUATIONS WITH LOGARITHMIC NONLINEARITY ON METRIC GRAPHS
    Wang, Ru
    Chang, Xiaojun
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 2022 (51)
  • [47] Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions
    Ding, Juntang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [48] Global Existence and Blow-Up in a p(x)-Laplace Equation with Dirichlet Boundary Conditions
    Jian, Yuhua
    Yang, Zuodong
    JOURNAL OF MATHEMATICAL STUDY, 2019, 52 (02): : 111 - 126
  • [49] Global existence and blow-up for a fourth order parabolic equation involving the Hessian
    Guangyu Xu
    Jun Zhou
    Nonlinear Differential Equations and Applications NoDEA, 2017, 24
  • [50] Global Existence and Blow-up Solutions for a Parabolic Equation with Critical Nonlocal Interactions
    Zhang, Jian
    Radulescu, Vicentiu D.
    Yang, Minbo
    Zhou, Jiazheng
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2025, 37 (01) : 687 - 725
12345