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Blow-up and global existence for the heat equation with nonlinear absorption-diffusion

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This paper deals with blow-up of positive solution of the nonlinear heat equation with absorption subject to a nonlinear boundary condition. The conditions under which the solutions may exist globally or blow-up are obtained by the comparison principles.

nonlinear heat equationabsorptionblow-upcomparison principle

ZHANG Hai-liang、GUO Xiu-lan

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Department of Mathematics, Zhejiang Ocean University, Zhoushan 316004, Zhejiang, P. R. China

College of Science, Henan University of Technology, Zhengzhou 450001, P. R. China

Education Department of Zhejiang ProvinceZhejiang Ocean University

Y200805137X08Z04

2010

10.1007/s11741-010-0624-2

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2010.14(3)
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