Pontryagin’s Maximum Principle for a Advection-Diffusion-Reaction Equation
Youjun Xu, Cuie Xiao, Hui June Zhu · Applied Mathematics · 2012
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.