Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (1): 125-132.

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A Note on Global Solution and Blow-Up for a Class of Pseudo p-Laplacian Evolution Equations with Logarithmic Nonlinearity

Yijun He1,*(),Huaihong Gao1,Hua Wang2,Shunyong Li1   

  1. 1 School of Mathematical Sciences, Shanxi University, Taiyuan 030006
    2 School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024
  • Received:2017-06-27 Online:2019-02-26 Published:2019-03-12
  • Contact: Yijun He E-mail:heyijun@sxu.edu.cn
  • Supported by:
    the NSFC(11401351);the NSFC(61403239);the Science Foundation of Shanxi Province(2014011005-2);the Doctor Startup Fund of Taiyuan University of Science and Technology(20152042);the Shanxi Scholarship Council of China(2016-009)

Abstract:

We consider the initial-boundary value problem for a pseudo p-Laplacian equation with logarithmic nonlinearity. Under different initial conditions, we get the results on blow up in finite time and asymptotic behavior of solutions. These results extend some recent results by Nhan and Truong[12].

Key words: Pseudo p-Laplacian equation, Blow-up, Algebraically decay, Logarithmic nonlinearity

CLC Number: 

  • O175.2
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