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Existence and non-existence of global solutions of diffusion systems with nonlinear boundary conditions

Published online by Cambridge University Press:  12 July 2007

Yuanwei Qi ,
Mingxin Wang  and
Zejun Wang
Yuanwei Qi
Affiliation:
Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA (yqi@pegasus.cc.ucf.edu)
Mingxin Wang
Affiliation:
Department of Applied Mathematics, Southeast University, Nanjing 210018, People's Republic of China (mxwang@seu.edu.cn)
Zejun Wang
Affiliation:
Institute of Mathematics, Fudan University, Shanghai 200433, People's Republic of China (wangzejun@xinhuanet.com)
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Abstract

This paper deals with existence and non-existence of global solutions of certain fast–slow diffusion systems with nonlinear boundary conditions. Necessary and sufficient conditions for global existence of positive solutions are obtained in terms of various parameters which appear explicitly in the definition of the systems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 6 , December 2004 , pp. 1199 - 1217
Copyright
Copyright © Royal Society of Edinburgh 2004

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