On boundary state constrained control problems |
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Authors: | Maïtine Bergounioux |
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Affiliation: | Departement de Mathématiques et d'Informatique , U.F.R. Sciences Université d'Orl?ans , Orleans Cedex 2, B.P., 6779—45067, France |
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Abstract: | The aim of this paper is to present a simple qualification condition for control elliptic problems involving constraints both on the control and the state, when there are both a distributed and a boundary control. We establish a general maximum principle and give some examples. Then we study the particular case when the control is only a boundary one and we present a Lagrangian Algorithm with a few numerical results. |
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Keywords: | Conservation laws Coupled system Finite difference Hyperbolic Nonlinear Partial differential equation Mathematics Subject Classification Numbers: 35L45 35L50 35L60 35L65 |
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