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Boundary Value Problems
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  • Research Article
  • Open Access

Simultaneous versus Nonsimultaneous Blowup for a System of Heat Equations Coupled Boundary Flux

Boundary Value Problems20072007:075258

https://doi.org/10.1155/2007/75258

©  M. Fan and L. Du 2007

  • Received: 5 November 2006
  • Accepted: 23 March 2007
  • Published:

Abstract

This paper deals with a semilinear parabolic system in a bounded interval, completely coupled at the boundary with exponential type. We characterize completely the range of parameters for which nonsimultaneous and simultaneous blowup occur.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Heat Equation

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Authors’ Affiliations

(1)
Department of Mathematics, Jincheng College of Sichuan University, Chengdu, 611731, China
(2)
Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, China
(3)
School of Mathematical Sciences, South China University of Technology, Guangzhou, 510640, China

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Copyright

© M. Fan and L. Du 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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