非线性边界条件下抛物问题解的爆破

李晓军;钟承奎;

数学学报 ›› 2007, Vol. 50 ›› Issue (5) : 981-988.

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中国科学院数学与系统科学研究院期刊网
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数学学报 ›› 2007, Vol. 50 ›› Issue (5) : 981-988. DOI: 10.12386/A2007sxxb0114
论文

非线性边界条件下抛物问题解的爆破

    李晓军;钟承奎;
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Blow-up of Solutions of Parabolic Problems with Nonlinear Boundary Conditions

    Xiao Jun LI(1); Cheng Kui ZHON
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摘要

本文讨论在在非线性边界条件下反应-扩散方程解的爆破.当非线性项f,g满足一定的条件时,我们得到其解在有限时间内爆破.

Abstract

The purpose of this paper is to investigate the blow-up solutions of reaction- diffusion equations with nonlinear boundary conditions.Under some assumptions on the nonlinear terms f and g,we show that the solutions blow up in finite time.

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爆破 / 非线性边界条件 / 反应-扩散

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李晓军;钟承奎;. 非线性边界条件下抛物问题解的爆破. 数学学报, 2007, 50(5): 981-988 https://doi.org/10.12386/A2007sxxb0114
Xiao Jun LI(1); Cheng Kui ZHON. Blow-up of Solutions of Parabolic Problems with Nonlinear Boundary Conditions. Acta Mathematica Sinica, Chinese Series, 2007, 50(5): 981-988 https://doi.org/10.12386/A2007sxxb0114
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