Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (5): 904-913.

• Articles • Previous Articles     Next Articles

Secondary Critical Exponent and Life Span for a Fast Diffusion Equation

 LI Zhong-Ping1, XU Si2, DU Wan-Juan1   

  1. 1.College of Mathematic and Information, China West Normal University, Sichuan Nanchong 637002|2.Department of Mathematics, Jiangxi Vocational College of Finance and Economics, Jiangxi |Jiujiang 332000
  • Received:2011-05-08 Revised:2012-04-23 Online:2012-10-25 Published:2012-10-25
  • Supported by:

    四川省教育厅自然科学重点项目(09ZA119)和四川省教育厅自然科学科研项目(09ZC011)资助

Abstract:

In this paper, we consider the positive solution to a Cauchy problem of a fast diffusion equation and give the secondary critical exponent on the decay asymptotic behavior of an initial value at infinity. Furthermore, the life span of the blow-up solution is also studied. 

Key words: Secondary critical exponent, Life span, Fast diffusion equation, Slowly decay initial data

CLC Number: 

  • 35K50
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