TITLE:
Pontryagin’s Maximum Principle for a Advection-Diffusion-Reaction Equation
AUTHORS:
Youjun Xu, Cuie Xiao, Hui Zhu
KEYWORDS:
Optimal Control; Pontryagin’s Maximum Principle; State Constraint
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.12,
December
14,
2012
ABSTRACT: In this paper we investigate optimal control problems governed by a advection-diffusion-reaction equation. We present a method for deriving conditions in the form of Pontryagin’s principle. The main tools used are the Ekeland’s variational principle combined with penalization and spike variation techniques.