GLOBAL EXISTENCE OF SOLUTIONS FOR A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (1): 1-10.

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GLOBAL EXISTENCE OF SOLUTIONS FOR A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM

江成顺¹, 李海峰²

1. Dept. of Math., Shandong Univ., Jinan 250100, China;
2. Zhengzhou Textile Institute, Zhengzhou 450007, China

收稿日期:1995-02-19 修回日期:1996-03-04 出版日期:1998-03-25 发布日期:1998-03-25
基金资助:
Project supported by the national natural science foundation of China

GLOBAL EXISTENCE OF SOLUTIONS FOR A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM

Jiang Chengshun¹, Li Haifeng²

1. Dept. of Math., Shandong Univ., Jinan 250100, China;
2. Zhengzhou Textile Institute, Zhengzhou 450007, China

Received:1995-02-19 Revised:1996-03-04 Online:1998-03-25 Published:1998-03-25
Supported by:
Project supported by the national natural science foundation of China

摘要/Abstract

摘要： This paper is concerned with an Initial Boundary Value Problem (IBVP) for a strongly coupled semilinear reaction-diffusion system. By using the upper and lower solutions method and Leray-Schauder fixed point theorem and so on, the authors prove the global eaistence and uniqueness of a smooth solution for this IBVP under some appropriate conditions.

关键词: strongly coupled reaction-diffusion system, global smooth solution, upper and lower solutions, Leray-Schauder fixed point theorem

Abstract: This paper is concerned with an Initial Boundary Value Problem (IBVP) for a strongly coupled semilinear reaction-diffusion system. By using the upper and lower solutions method and Leray-Schauder fixed point theorem and so on, the authors prove the global eaistence and uniqueness of a smooth solution for this IBVP under some appropriate conditions.

Key words: strongly coupled reaction-diffusion system, global smooth solution, upper and lower solutions, Leray-Schauder fixed point theorem

江成顺, 李海峰. GLOBAL EXISTENCE OF SOLUTIONS FOR A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM[J]. 数学物理学报(英文版), 1998, 18(1): 1-10.

Jiang Chengshun, Li Haifeng. GLOBAL EXISTENCE OF SOLUTIONS FOR A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM[J]. Acta mathematica scientia,Series B, 1998, 18(1): 1-10.

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GLOBAL EXISTENCE OF SOLUTIONS FOR A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM

GLOBAL EXISTENCE OF SOLUTIONS FOR A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM

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