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

• Published in: Acta mathematica scientia Vol. 18; no. 1; pp. 1 - 10
• Main Author: 江成顺 李海峰
• Format: Journal Article
• Language: English
• 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

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...