Author(s)

Youjun Xu, Cuie Xiao, Hui Zhu

Department of Mathematics and Computation Sciences, Hunan City University, Yiyang, China.
School of Mathematics and Physics, University of South China, Hengyang, China.

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.

Optimal Control; Pontryagin’s Maximum Principle; State Constraint

Y. Xu, C. Xiao and H. Zhu, "Pontryagin’s Maximum Principle for a Advection-Diffusion-Reaction Equation," Applied Mathematics, Vol. 3 No. 12, 2012, pp. 1888-1891. doi: 10.4236/am.2012.312258.