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

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 existence and uniqueness of a smooth solutio...

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Bibliographic Details
Published inActa mathematica scientia Vol. 18; no. 1; pp. 1 - 10
Main Author 江成顺 李海峰
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 1998
Subjects
and
coupled
fixed
global
global smooth solution
Leray-Schauder
Leray-Schauder fixed point theorem
lower
point
reaction-diffusion
smooth
solution
solutions
strongly
strongly coupled reaction-diffusion system
system
theorem
upper
upper and lower solutions
strongly coupled reaction-diffusion system
global smooth solution
upper and lower solutions
Leray-Schauder fixed point theorem
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Summary: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 existence and uniqueness of a smooth solution for this IBVP under some appropriate conditions.
Bibliography:42-1227/O
Jiang Chengshun(Dept.of Math., Shandong Univ. Jinan 250100, China)Li Haifeng(Zhengzhou Textile Institute, Zhengzhou 450007, China)
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(17)30683-5