Upper bounds of blow-up time and blow-up rate for a semi-linear edge-degenerate parabolic equation

被引：6

作者：

Xu, Guangyu ^{[1
]}

Zhou, Jun ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 73卷

基金：

中国博士后科学基金;

关键词：

Semi-linear edge-degenerate; parabolic equation; Blow-up time; Blow-up rate; POSITIVE INITIAL ENERGY; THIN-FILM EQUATION; VARIABLE SOURCE;

D O I：

10.1016/j.aml.2017.04.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper gives the upper bounds of blow-up time and blow-up rate for a semi-linear edge-degenerate parabolic equation, and the results extend the results of a recent paper Chen and Liu (2016). (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：1 / 7

页数：7

共 50 条

[21] Existence and blow-up of solutions for a degenerate semilinear parabolic equation
Ran, Yanping
Peng, Congming
CURRENT TRENDS IN THE DEVELOPMENT OF INDUSTRY, PTS 1 AND 2, 2013, 785-786 : 1454 - 1458
[22] Asymptotic blow-up behavior for a nonlocal degenerate parabolic equation
Chen, Yujuan
Gao, Hongjun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (02) : 852 - 863
[23] Existence and blow-up for a degenerate parabolic equation with nonlocal source
Li, FC
Xie, CH
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (02) : 523 - 534
[24] Blow-up rate estimate for degenerate parabolic equation with nonlinear gradient term
Zhang, Zheng-ce
Wang, Biao
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2010, 31 (06) : 787 - 796
[25] Blow-up for a degenerate and singular parabolic equation with a nonlocal source
Sukwong, Nitithorn
Sawangtong, Panumart
Koonprasert, Sanoe
Sawangtong, Wannika
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[26] Blow-up rate estimate for degenerate parabolic equation with nonlinear gradient term
张正策
王彪
AppliedMathematicsandMechanics(EnglishEdition), 2010, 31 (06) : 787 - 796
[27] Blow-up rate estimate for degenerate parabolic equation with nonlinear gradient term
Zheng-ce Zhang
Biao Wang
Applied Mathematics and Mechanics, 2010, 31 : 787 - 796
[28] Blow-up of solutions to a degenerate parabolic equation not in divergence form
Winkler, M
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 192 (02) : 445 - 474
[29] The blow-up rate for a degenerate parabolic equation with a non-local source
Deng, WB
Duan, ZW
Xie, CH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 264 (02) : 577 - 597
[30] Blow-up solutions of degenerate parabolic problems
Sawangtong, P.
Jumpen, W.
WSEAS Transactions on Mathematics, 2010, 9 (09) : 723 - 733

← 1 2 3 4 5 →