Pontryagin's maximum principle for optimal control of a non-well-posed parabolic differential equation involving a state constraint

ANZIAM J. 46 (2004), 171-184

Pontryagin's maximum principle for optimal control of a non-well-posed parabolic differential equation involving a state constraint

Mi Jin Lee
Department of Mathematics
Pusan National University
Pusan 609-735
Korea
jin8719@hanmail.net

and

Jong Yeoul Park
Department of Mathematics
Pusan National University
Pusan 609-735
Korea
jyepark@pusan.ac.kr

Abstract

In this paper, we study Pontryagin's maximum principle for some optimal control problems governed by a non-well-posed parabolic differential equation. A new penalty functional is applied to derive Pontryagin's maximum principle and an application for this system is given.

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