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

Pavol Quittner; Philippe Souplet

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

机译：具有非线性边界条件的抛物线问题解的爆破率

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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.

机译：我们回顾了已知的并证明了具有非线性边界条件的抛物线问题解的爆炸率的新结果。我们还将这些结果及其证明方法与非线性热方程的相应结果和方法进行比较。

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来源
《Discrete and continuous dynamical systems》 |2012年第3期|p.671-681|共11页
作者
Pavol Quittner; Philippe Souplet;
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作者单位

Department of Applied Mathematics and Statistics Comenius University Mlynska dolina, 84248 Bratislava, Slovakia;

Universite Paris 13, CNR.S UMR 7539 Laboratoire Analyse Geometrie et Applications 93430 Villetaneuse, France;

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原文格式 PDF
正文语种 eng
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关键词
parabolic; nonlinear boundary conditions; blow-up rate; a priori estimate;

机译：抛物线非线性边界条件;爆炸率先验估计;

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1. Global Existence and Blow-up of Solutions to a Doubly Degenerate Parabolic System with Nonlinear Boundary Conditions [J] . MI Yongsheng, MU Chunlai, WU Yunlong Chinese journal of contemporary mathematics . 2014,第1期

机译：具有非线性边界条件的双退化抛物方程组解的整体存在性和爆破。
2. Blow-up rate for radially symmetric solutions of some parabolic equations with nonlinear boundary conditions [J] . Harada J., Mihara K. Journal of Differential Equations . 2012,第5期

机译：具有非线性边界条件的一类抛物型方程的径向对称解的爆破速率。
3. Blow-Up Solution for the Degenerate Quasilinear Parabolic System with Nonlinear Boundary Condition [J] . ZHI-WEN DUAN, CHUN-HONG XIE, LI ZHOU Computers & mathematics with applications . 2005,第5a6期

机译：具非线性边界条件的退化拟线性抛物方程组的爆破解
4. Blow-Up for a Class of Parabolic Equations with Nonlinear Boundary Conditions [C] . Leina Zhao ISNN 2011;International symposium on neural networks . 2011

机译：一类具有非线性边界条件的抛物方程的爆破
5. Single-point blow-up of solutions for degenerate nonlinear parabolic problems. [D] . Tian, Haiyan. 2002

机译：退化非线性抛物线问题解的单点爆破。
6. Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions [O] . Juntang Ding -1

机译：非线性边界条件下p-Laplacian抛物型问题的整体存在和爆破结果
7. Blow-up rate for radially symmetric solutions of some parabolic equations with nonlinear boundary conditions [O] . Harada Junichi, Mihara Kotaro 2012

机译：具有非线性边界条件的一类抛物型方程的径向对称解的爆破速率。
8. Efficient Multistep Procedures for Nonlinear Parabolic Problems with Nonlinear Neumann Boundary Conditions [R] . Ewing, R. E. 1979

机译：具有非线性Neumann边界条件的非线性抛物问题的高效多步程序

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

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