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Existence and stability of the optimal control to p-Laplacian
Peidong Lei * #,Gao Hang
School of Mathematics & Statistics, Northeast Normal University
*Correspondence author
#Submitted by
Subject:
Funding: 教育部科学技术研究重点项目,NENU-STC07007（No.108046，NENU-STC07007）
Opened online:12 January 2009
Accepted by: none
Citation: Peidong Lei ,Gao Hang.Existence and stability of the optimal control to p-Laplacian[OL]. [12 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27630
 
 
In this paper, we are concerned with the optimal control of the evolutionary p-Laplacian with the convective boundary condition taking the heat transfer coefficient as the control. We take as our cost functional the L^p-norm of the difference between the temperature attained and the desired temperature. The existence and the stability of the optimal control that minimizes the cost functional are proved.
Keywords:Optimal control;convective boundary condition;nonlinear diffusion;degeneracy
 
 
 

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