Blow-up and global existence for the heat equation with nonlinear absorption-diffusion 被引量：1

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

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摘要 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. 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.

作者张海亮郭秀兰

机构地区 Department of Mathematics College of Science

出处《Journal of Shanghai University(English Edition)》 CAS 2010年第3期170-173,共4页 上海大学学报（英文版）

基金 Project supported by the Education Department of Zhejiang Province (Grant No.Y200805137) the Zhejiang Ocean University (Grant No.X08Z04)

关键词 nonlinear heat equation ABSORPTION BLOW-UP comparison principle nonlinear heat equation absorption blow-up comparison principle

分类号 O175.8 [理学—基础数学]

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参考文献15

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同被引文献2

1Ling-hua KONG~(1+) Ming-xin WANG~(2,3) 1 Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,China,2 Department of Mathematics,Southeast University,Nanjing 210018,China,3 Department of Mathematics,Xuzhou Normal University,Xuzhou 221116,China.Global existence and blow-up of solutions to a parabolic system with nonlocal sources and boundaries[J].Science China Mathematics,2007,50(9):1251-1266. 被引量：11
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Journal of Shanghai University(English Edition)

2010年第3期

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Blow-up and global existence for the heat equation with nonlinear absorption-diffusion 被引量：1

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