Pontryagin’s Maximum Principle for a Advection-Diffusion-Reaction Equation

DOI: 10.4236/am.2012.312258   PDF   HTML   XML   3,495 Downloads   5,466 Views  

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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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