Home > Papers

 
 
The convergence to the equilibria for the solutions to some parabolic equations with variable exponents
Li Hai-Sheng,Chai Xiao-Juan,Niu Wei-Sheng *
School of Mathematical Sciences, Anhui University, Hefei 230601
*Correspondence author
#Submitted by
Subject:
Funding: The Research Fund for Doctor Station of theEducation Ministry of China（No.No. 20123401120005）, NSF of AnhuiProvince（No.No. 1308085QA02）, Tian Yuan Series ofNSFC（No.No.11226183）, National Natural Science Foundation of China（No.No.11301003）
Opened online: 6 February 2015
Accepted by: none
Citation: Li Hai-Sheng,Chai Xiao-Juan,Niu Wei-Sheng.The convergence to the equilibria for the solutions to some parabolic equations with variable exponents[OL]. [ 6 February 2015] http://en.paper.edu.cn/en_releasepaper/content/4631415
 
 
This paper is concerned with the large time behavior of solutions to the$p(x)$-Laplacian equations with irregular data. Under properassumptions, we show that the entropy solution of the parabolic$p(x)$-Laplacian equations converges in $L^q(Omega)$ to the unique stationary entropy solution as $t$ tends to infinity.
Keywords: partial differential equation, variable exponent, asymptotic behavior
 
 
 

For this paper
  • ● PDF (0B)
  • ● Revision 0 　　
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags
Add yours

Related Papers

Statistics
PDF Downloaded 74
Bookmarked 0
Recommend 5
Comments Array
Submit your papers