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H. W. Lou and J. M. Yong, “Optimal Controls for Semilinear Elliptic Equations with Leaing Term Containing Controls,” SIAM Journal on Control and Optimization, Vol. 48, No. 4, 2009, pp. 2366-2387. doi:10.1137/080740301

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.