Lower bound for the blow-up time for some nonlinear parabolic equations

被引：7

作者：

Chen, Wenhui ^{[1
]}

Liu, Yan ^{[1
]}

机构：

[1] Guangdong Univ Finance, Dept Appl Math, Guangzhou 510521, Guangdong, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国国家自然科学基金;

关键词：

lower bound; blow-up time; nonlinear parabolic problems; HEAT-EQUATION;

D O I：

10.1186/s13661-016-0669-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the blow-up phenomenon for some nonlinear parabolic problems. Using the technique of differential inequalities, the lower bound for the blow-up time is determined if a blow-up does really occur. Our result is obtained in a bounded domain Omega is an element of R-N for any N >= 3.

引用

页数：6

共 50 条

[31] Blow-up time estimates in porous medium equations with nonlinear boundary conditions
Ding, Juntang
Shen, Xuhui
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (04):
[32] Blow-Up Phenomena for Some Pseudo-Parabolic Equations with Nonlocal Term
Liu, Gongwei
Tian, Shuying
ANALYSIS IN THEORY AND APPLICATIONS, 2022, 38 (04): : 451 - 466
[33] Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions
Chung, Soon-Yeong
Hwang, Jaeho
BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
[34] Blow-up time and boundary layer for solutions in parabolic equations with different diffusion
Liu, Bingchen
Li, Fengjie
APPLICABLE ANALYSIS, 2017, 96 (16) : 2818 - 2831
[35] Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
Payne, L. E.
Schaefer, P. W.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (02) : 1196 - 1205
[36] Some new bounds for the blow-up time of solutions for certain nonlinear Volterra integral equations
From, Steven G.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 445
[37] Blow-up analysis for a semilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux
Fang, Zhong Bo
Wang, Yuxiang
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (05): : 2525 - 2541
[38] Analysis on blow-up time of parabolic equation system with nonlinear boundary conditions
Li, Jianjiao
Zhang, Lingling
2022 34TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC, 2022, : 3174 - 3179
[39] Analysis on blow-up time of parabolic equation system with nonlinear boundary conditions
Zhang Xiaoyue
Zhang Lingling
PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 6651 - 6656
[40] Improvements on lower bounds for the blow-up time under local nonlinear Neumann conditions
Yang, Xin
Zhou, Zhengfang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (03) : 830 - 862

← 1 2 3 4 5 →