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The blow-up rate for positive solutions of indefinite parabolic problems and related Liouville type theorems

  • Ruixiang Xing
Article

Abstract

In this paper, we derive an upper bound estimate of the blow-up rate for positive solutions of indefinite parabolic equations from Liouville type theorems. We also use moving plane method to prove the related Liouville type theorems for semilinear parabolic problems.

Keywords

blow up rate indefinite problem Liouville type theorem moving plane method semilinear parabolic problem 

MR(2000) Subject Classification

35K55 35K57 

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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH 2009

Authors and Affiliations

  1. 1.School of Mathematical SciencesSun Yat-sen UniversityGuangzhouP. R. China

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