BLOW-UP RATE OF SOLUTIONS OF PARABOLIC POBLEMS WITH NONLINEAR BOUNDARY CONDITIONS

被引：5

作者：

Quittner, Pavol ^{[1
]}

Souplet, Philippe ^{[2
]}

机构：

[1] Comenius Univ, Dept Appl Math & Stat, Bratislava 84248, Slovakia

[2] Univ Paris 13, CNRS, Lab Analyse Geometr & Applicat, UMR 7539, F-93430 Villetaneuse, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2012年 / 5卷 / 03期

关键词：

Parabolic; nonlinear boundary conditions; blow-up rate; a priori estimate; REACTION-DIFFUSION EQUATIONS; HEAT-EQUATIONS; POSITIVE SOLUTIONS; GLOBAL-SOLUTIONS; UNIVERSAL BOUNDS; THEOREMS; DECAY;

D O I：

10.3934/dcdss.2012.5.671

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We review known and prove new results on blow-up rate of solutions of parabolic problems with nonlinear boundary conditions. We also compare these results and methods of their proofs with corresponding results and methods for the nonlinear heat equation.

引用

页码：671 / 681

页数：11

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