Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity

被引：10
|
作者：
Guo, Boling [1 ]
Ding, Hang [2 ]
Wang, Renhai [1 ]
Zhou, Jun [2 ]
机构：
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
ANALYSIS AND APPLICATIONS | 2022年 / 20卷 / 05期
关键词：
Kirchhoff-type parabolic equation; logarithmic nonlinearity; blow-up; GLOBAL EXISTENCE; LOCAL EXISTENCE; INSTABILITY; DECAY;
D O I：
10.1142/S021953052150038X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a Kirchhoff-type parabolic equation with logarithmic nonlinearity. By making a more general assumption about the Kirchhoff function, we establish a new finite time blow-up criterion. In particular, the blow-up rate and the upper and lower bounds of the blow-up time are also derived. These results generalize some recent ones in which the blow-up results were obtained when the Kirchhoff function was assumed to be a very special form.
引用
收藏
页码：1089 / 1101
页数：13
相关论文
共 50 条
  • [21] Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse's theory
    Ouaziz, Abdesslam
    Aberqi, Ahmed
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (01):
  • [22] Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse’s theory
    Abdesslam Ouaziz
    Ahmed Aberqi
    Boletín de la Sociedad Matemática Mexicana, 2024, 30
  • [23] Initial boundary value problem for p-Laplacian type parabolic equation with singular potential and logarithmic nonlinearity
    Yuan, Wen-Shuo
    Ge, Bin
    Cao, Qing-Hai
    ANALYSIS AND MATHEMATICAL PHYSICS, 2023, 13 (01)
  • [24] Blowup and Global Solutions of a Fourth-Order Parabolic Equation With Variable Exponent Logarithmic Nonlinearity
    Butakin, Gulistan
    Piskin, Erhan
    Celik, Ercan
    JOURNAL OF FUNCTION SPACES, 2024, 2024 (01)
  • [25] On a singular parabolic p-Laplacian equation with logarithmic nonlinearity
    Wu, Xiulan
    Zhao, Yanxin
    Yang, Xiaoxin
    COMMUNICATIONS IN ANALYSIS AND MECHANICS, 2024, 16 (03): : 528 - 553
  • [26] Kirchhoff-Type Problems Involving Logarithmic Nonlinearity with Variable Exponent and Convection Term
    Weichun Bu
    Tianqing An
    Yingjie Li
    Jianying He
    Mediterranean Journal of Mathematics, 2023, 20
  • [27] Kirchhoff-Type Problems Involving Logarithmic Nonlinearity with Variable Exponent and Convection Term
    Bu, Weichun
    An, Tianqing
    Li, Yingjie
    He, Jianying
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (02)
  • [28] Initial boundary value problem of pseudo-parabolic Kirchhoff equations with logarithmic nonlinearity
    Zhao, Qiuting
    Cao, Yang
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (02) : 799 - 816
  • [29] Anomalous pseudo-parabolic Kirchhoff-type dynamical model
    Dai, Xiaoqiang
    Han, Jiangbo
    Lin, Qiang
    Tian, Xueteng
    ADVANCES IN NONLINEAR ANALYSIS, 2022, 11 (01) : 503 - 534
  • [30] BLOW-UP FOR A PSEUDO-PARABOLIC p-KIRCHHOFF EQUATION WITH LOGARITHMIC NONLINEARITY
    Yang, Hui
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2024, 13 (02): : 445 - 457
12345