Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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BLOWUP PROPERTIES FOR PARABOLIC EQUATIONS COUPLED VIA NON-STANDARD GROWTH SOURCES

  • Liu, Bingchen (College of Science, China University of Petroleum) ;
  • Hong, Zhenzhen (College of Science, China University of Petroleum)
  • Received : 2012.05.10
  • Accepted : 2012.09.23
  • Published : 2013.01.30
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Abstract

This paper deals with parabolic equations coupled via nonstandard growth sources, subject to homogeneous Dirichlet boundary conditions. Three kinds of necessary and sufficient conditions are obtained, which determine the complete classifications for non-simultaneous and simultaneous blowup phenomena. Moreover, blowup rates are given.

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References

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