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Optimal control for quasilinear retarded parabolic systems

Published online by Cambridge University Press:  17 February 2009

Liping Pan
Affiliation:
Laboratory of Mathematics for Nonlinear Sciences and Department of Mathematics, Fudan University, Shanghai 200433, China.
Jiongmin Yong
Affiliation:
Laboratory of Mathematics for Nonlinear Sciences and Department of Mathematics, Fudan University, Shanghai 200433, China.
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Abstract

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We study an optimal control problem for a quasilinear parabolic equation which has delays in the highest order spatial derivative terms. The cost functional is Lagrange type and some terminal state constraints are presented. A Pontryagin-type maximum principle is derived.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001