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BILINEAR OPTIMAL CONTROL OF THE VELOCITY TERM IN A VON KÁRMÁN PLATE EQUATION

Part of: Existence theories

Published online by Cambridge University Press:  29 July 2013

JONG YEOUL PARK ,
SUN HYE PARK  and
YONG HAN KANG
JONG YEOUL PARK
Affiliation:
Department of Mathematics, Pusan National University, Busan 609-735, South Korea
SUN HYE PARK*
Affiliation:
Department of Mathematics, Pusan National University, Busan 609-735, South Korea
YONG HAN KANG
Affiliation:
Institute of Liberal Education, Catholic University of Daegu, Gyeongsan 712-702, South Korea
*
✉[email protected]
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Abstract

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We consider a bilinear optimal control problem for a von Kármán plate equation. The control is a function of the spatial variables and acts as a multiplier of the velocity term. We first state the existence of solutions for the von Kármán equation and then derive optimality conditions for a given objective functional. Finally, we show the uniqueness of the optimal control.

Keywords

Kármán systemexistence of solutionsoptimal controlnecessary conditions

MSC classification

Secondary: 49J20: Optimal control problems involving partial differential equations
Type
Research Article
Information
The ANZIAM Journal , Volume 54 , Issue 4 , April 2013 , pp. 291 - 305
Copyright
Copyright ©2013 Australian Mathematical Society 

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