Blow-up phenomena for a Kirchhoff-type parabolic equation with logarithmic nonlinearity

被引：9

作者：

Shao, Xiangkun ^{[1
]}

Tang, Guo-ji ^{[1
,2
]}

机构：

[1] Guangxi Univ Nationalities, Sch Math & Phys, Nanning 530006, Guangxi, Peoples R China

[2] Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Guangxi, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 116卷

关键词：

Kirchhoff-type parabolic equation; Blow-up; Logarithmic nonlinearity;

D O I：

10.1016/j.aml.2020.106969

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Kirchhoff-type parabolic equation with logarithmic nonlinearity is studied in this paper. By employing the potential well theory and some differential inequality techniques, a new blow-up condition, the upper bound of the blow-up time, and the lower bound of the growth rate of blow-up solutions are obtained. The effect of the parameters a, b, theta in the assumption of Kirchhoff function M is simultaneously considered, while Ding and Zhou only considered the effect of the parameters b, theta. Thus, the main result in the present paper improves a recent blow-up result. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：8

共 50 条

[1] Global Existence and Blow-Up for a Kirchhoff-Type Hyperbolic Problem with Logarithmic Nonlinearity
Shao, Xiangkun
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 84 (02): : 2061 - 2098
[2] Global Existence and Blow-Up for a Kirchhoff-Type Hyperbolic Problem with Logarithmic Nonlinearity
Xiangkun Shao
[J]. Applied Mathematics & Optimization, 2021, 84 : 2061 - 2098
[3] Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity
Guo, Boling
Ding, Hang
Wang, Renhai
Zhou, Jun
[J]. ANALYSIS AND APPLICATIONS, 2022, 20 (05) : 1089 - 1101
[4] Global Existence and Blow-Up for a Parabolic Problem of Kirchhoff Type with Logarithmic Nonlinearity
Hang Ding
Jun Zhou
[J]. Applied Mathematics & Optimization, 2021, 83 : 1651 - 1707
[5] Global Existence and Blow-Up for a Parabolic Problem of Kirchhoff Type with Logarithmic Nonlinearity
Ding, Hang
Zhou, Jun
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 83 (03): : 1651 - 1707
[6] Global existence and blow-up of solutions for a p-Kirchhoff type parabolic equation with logarithmic nonlinearity
Khuddush, Mahammad
Kapula, Rajendra Prasad
Bharathi, Sa-Botta
[J]. JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2022, 8 (02) : 919 - 938
[7] BLOW-UP FOR A PSEUDO-PARABOLIC p-KIRCHHOFF EQUATION WITH LOGARITHMIC NONLINEARITY
Yang, Hui
[J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2024, 13 (02): : 445 - 457
[8] Blow-up phenomena for a damped plate equation with logarithmic nonlinearity
Li, Xiatong
Fang, Zhong Bo
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 71
[9] Blow-up of Solutions to a p-Kirchhoff-Type Parabolic Equation with General Nonlinearity
Haixia Li
[J]. Journal of Dynamical and Control Systems, 2020, 26 : 383 - 392
[10] Blow-up of Solutions to a p-Kirchhoff-Type Parabolic Equation with General Nonlinearity
Li, Haixia
[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2020, 26 (02) : 383 - 392

← 1 2 3 4 5 →