Blow-up and lifespan of solutions to a nonlocal parabolic equation at arbitrary initial energy level

被引：10

作者：

Zhou, Jun ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 78卷

关键词：

Nonlocal parabolic equation; Arbitrary initial energy level; Blow-up; Lifespan;

D O I：

10.1016/j.aml.2017.11.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlocal parabolic equation. By exploiting the boundary condition and the variational structure of the equation, we prove finite time blow-up of the solution for initial data at arbitrary energy level. We also obtain the lifespan of the blow-up solution. The results generalize the former studies on this equation. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：118 / 125

页数：8

共 50 条

[1] Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level
Liu, Gongwei
Zhao, Ruimin
BOUNDARY VALUE PROBLEMS, 2018,
[2] Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level
Gongwei Liu
Ruimin Zhao
Boundary Value Problems, 2018
[3] Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
Gao, Wenjie
Han, Yuzhu
APPLIED MATHEMATICS LETTERS, 2011, 24 (05) : 784 - 788
[4] Blow-up phenomena for a nonlocal semilinear parabolic equation with positive initial energy
Khelghati, Ali
Baghaei, Khadijeh
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (05) : 896 - 902
[5] Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy
Haixia Li
Yuzhu Han
Boundary Value Problems, 2017
[6] Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy
Li, Haixia
Han, Yuzhu
BOUNDARY VALUE PROBLEMS, 2017,
[7] Blow-up for a nonlocal parabolic equation
Liang Fei
Li Yuxiang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 3551 - 3562
[8] Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level
Sun, Fenglong
Liu, Lishan
Wu, Yonghong
APPLICABLE ANALYSIS, 2019, 98 (12) : 2308 - 2327
[9] Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential
Feng, Min
Zhou, Jun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 464 (02) : 1213 - 1242
[10] Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level
Liu, Lishan
Sun, Fenglong
Wu, Yonghong
BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)

← 1 2 3 4 5 →