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L. Dede and A. Quarteroni, “Optimal Control and Numerical Adaptivity for Advection-Diffusion Equations,” Mathematical Modelling and Numerical Analysis, Vol. 39, No. 2, 2005, pp. 1019-1040.

has been cited by the following article:

• 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.