| 一个带非局部源的反应扩散方程组解的存在性和渐近性态 |
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| 引用本文： | 栗付才,谢春红.一个带非局部源的反应扩散方程组解的存在性和渐近性态[J].数学学报,2002,45(6):1185-119. |
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| 作者姓名： | 栗付才 谢春红 |
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| 作者单位： | 南京大学数学系,江苏,南京,210093 |
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| 摘 要： | 本文研究带非局部源的半线性反应扩散方程组,并通过建立比较定理,利用Schauder不动点定理证明古典解的存在唯一性,得到了解的爆破点集与解的渐近性态.
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| 关 键 词： | 非局部源 古典解 爆破点集 解的渐近性态 |
| 文章编号： | 0583-1431(2002)06-1185-12 |
| 修稿时间： | 2000年2月28日 |
Existence and Asymptotic Behavior of Solution for a Reaction Diffusion System with Nonlocal Source |
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| Fu Cai LI,Chun Hong XIE.Existence and Asymptotic Behavior of Solution for a Reaction Diffusion System with Nonlocal Source[J].Acta Mathematica Sinica,2002,45(6):1185-119. |
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| Authors: | Fu Cai LI Chun Hong XIE |
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| Institution: | Fu Cai LI Chun Hong XIE (Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China) |
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| Abstract: | Abstract In this paper, a semi-linear reaction diffusion system with nonlocal source is considered, and existence and uniqueness of the classical solution are proved by establishing a comparison theorem and employing the Schauder fixed point theorem. The blow-up set and asymptotic behavior of solution are also obtained. |
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| Keywords: | Nonlocal source Classical solution Blow-up set Asymptotic behavior of solution |
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