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.
https://hal.univ-guyane.fr/hal-01891254 Contributor : Marie LatourConnect in order to contact the contributor Submitted on : Monday, October 15, 2018 - 12:34:32 PM Last modification on : Tuesday, May 17, 2022 - 1:32:02 PM Long-term archiving on: : Wednesday, January 16, 2019 - 12:40:07 PM
A. Berhail, Abdennebi 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⟩