Blow-up for a thin-film equation with positive initial energy

被引：35

作者：

Zhou, Jun ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 446卷 / 01期

基金：

中国博士后科学基金;

关键词：

Thin-film equation; Positive initial energy; Blow-up; Upper bound of blow-up time; NEUMANN BOUNDARY-CONDITIONS; SEMILINEAR PARABOLIC EQUATION; P-LAPLACE EQUATION; NON-EXTINCTION; EXISTENCE;

D O I：

10.1016/j.jmaa.2016.09.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a thin-film equation with nonlocal source, which was studied by Qu and Zhou (2016) [11], where the authors derived the conditions for global existence, blow-up and extinction. We consider the case that the initial energy is positive and establish a blow-up result for this case. Furthermore, the upper bound of the blow-up time is derived. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1133 / 1138

页数：6

共 13 条

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Qu, Chengyuan ;

Zhou, Wenshu .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 436 (02) :796-809

[12] Blow-up versus extinction in a nonlocal p-Laplace equation with Neumann boundary conditions [J].

Qu, Chengyuan ;

Bai, Xueli ;

Zheng, Sining .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (01) :326-333

[13] Global nonexistence theorems for a class of evolution equations with dissipation [J].

Vitillaro, E .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1999, 149 (02) :155-182

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