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Existence of optimal controls for semilinear elliptic equations without Cesari-type conditions

Published online by Cambridge University Press:  17 February 2009

Hongwei Lou
Hongwei Lou
Affiliation:
Mathematical Department, Fudan University, Shanghai, 200433, China; e-mail: hwlou@fudan.edu.cn.
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Abstract

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Optimal control problems governed by semilinear elliptic partial differential equations are considered. No Cesari-type conditions are assumed. By proving an existence theorem and the Pontryagin maximum principle of optimal “state-control” pairs for the corresponding relaxed problems, we establish an existence theorem of optimal pairs for the original problem.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 1 , July 2003 , pp. 115 - 131
Copyright
Copyright © Australian Mathematical Society 2003

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