J4 ›› 2013, Vol. 51 ›› Issue (02): 159-163.

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Extinction of Solutions to a Class of Fast Diffusion PorousMedium Equations with Nonlinear Absorption Term

WU Xiulan1,2, GAO Wenjie1   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China
  • Received:2012-07-27 Online:2013-03-26 Published:2013-03-27
  • Contact: GAO Wenjie E-mail:wjgao@jlu.edu.cn

Abstract:

The authors investigated the extinction for a class of fast diffusion equations in finite time, giving the sufficient conditions about the extinction and the decay estimates of solutions with the help of Lp estimate methods and interpolation inequalities.

Key words: fast diffusion, porous medium equation, extinction, decay estimate

CLC Number: 

  • O175.8