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Periodic Optimal Control for a Degenerate Nonlinear Diffusion Equation

WANG Chun-peng, KE Yuan-yuan, WANG Ze-jia   

  1. (1.College of Mathematics, Jilin University, Changchun 130012,China; 2. School of Applied Science, University of Science and Technology Beijing, Beijing 100083, China)
  • Received:2005-02-21 Revised:1900-01-01 Online:2005-05-26 Published:2005-05-26
  • Contact: WANG Chun-peng

Abstract: This paper deals with the periodic optimal control gove rned by a degenerate nonlinear diffusion equation. The existence and stabili ty of the optimal control is established based on the parabolic regularization method and the weak convergence technique.

Key words: optimal control, periodicity, degeneracy, nonlinear diffusion

CLC Number: 

  • 0175.231