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Optimal Control of the Ill-Posed Cauchy Elliptic Problem

Abstract : We give a characterization of the control for ill-posed problems of oscillating solutions. More precisely, we study the control of Cauchy elliptic problems via a regularization approach which generates incomplete information. We obtain a singular optimality system characterizing the no-regret control for the Cauchy problem.
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https://hal.univ-guyane.fr/hal-01891254
Contributor : Marie Latour <>
Submitted on : Monday, October 15, 2018 - 12:34:32 PM
Last modification on : Tuesday, January 14, 2020 - 10:38:15 AM
Document(s) archivé(s) le : Wednesday, January 16, 2019 - 12:40:07 PM

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A. Berhail, A. Omrane. Optimal Control of the Ill-Posed Cauchy Elliptic Problem. International Journal of Differential Equations, Hindawi Publishing Corporation, 2015, 2015, pp.468918. ⟨10.1155/2015/468918⟩. ⟨hal-01891254⟩

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