Blow up for some quasilinear equations with dynamical boundary conditions of parabolic type

被引：6

作者：

Vulkov, Lubin G. ^{[1
]}

机构：

[1] Univ Rousse, Dept Appl Math & Informat, Rousse 7017, Bulgaria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 191卷 / 01期

关键词：

quasilinear elliptic and parabolic equations; Steklov spectral problem; dynamical boundary conditions; blow up;

D O I：

10.1016/j.amc.2007.01.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions for existence of blow-up solutions to parabolic and elliptic equations with dynamical boundary conditions having positive or vanishing initial energy are obtained. Estimates for the time interval of solution existence are given. We also discuss the blow-up rates and blow-up sets by means of numerical experiments. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：89 / 99

页数：11

共 50 条

[1] Blow-up of solutions for a class of quasilinear parabolic equations with nonlinear Boundary conditions
Zhao, Jun Ping
Wang, Lan Fang
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2012, 15 (06) : 439 - 448
[2] Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions
Gao, Xuyan
Ding, Juntang
Guo, Bao-Zhu
[J]. APPLICABLE ANALYSIS, 2009, 88 (02) : 183 - 191
[3] Blow up for nonlinear parabolic equations with time degeneracy under dynamical boundary conditions
Mailly, Gaelle Pincet
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (03) : 657 - 667
[4] Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type
Koleva, Miglena
Vulkov, Lubin
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 202 (02) : 414 - 434
[5] Blow-up solutions and global solutions for a class of quasilinear parabolic equations with robin boundary conditions
Ding, JT
Li, SJ
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (5-6) : 689 - 701
[6] Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up
Bandle, Catherine
von Below, Joachim
Reichel, Wolfgang
[J]. RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2006, 17 (01) : 35 - 67
[7] Blow-up directions for quasilinear parabolic equations
Seki, Yukihiro
Urneda, Noriaki
Suzuki, Ryuichi
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2008, 138 : 379 - 405
[8] Blow-up of solutions to quasilinear parabolic equations
Erdem, D
[J]. APPLIED MATHEMATICS LETTERS, 1999, 12 (03) : 65 - 69
[9] Blow-up problems for quasilinear parabolic equations
Suzuki, R
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (07) : 4459 - 4466
[10] BLOW-UP OF SOLUTIONS TO QUASILINEAR PARABOLIC EQUATIONS
Li Fucai
[J]. JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2005, 18 (04): : 327 - 340

← 1 2 3 4 5 →