OPTIMAL CONTROL OF A NONLINEAR ELIPTICAL EVOLUTION PROBLEM WITH MISSING DATA,
Auteur(s): Toma Tindano, Mifiamba Soma, Tao Sadou et Somdouda Sawadogo
Auteur(s) tagués: Sadou TAO ;
Résumé

We consider the optimal control of a nonlinear elliptic problem with
missing data (so-called ill-posed problems). Using the notion of
no-regret and low-regret control, we give a characterization of the
control for ill-posed problems. More precisely, we study the control
of Cauchy evolution problems via a regularization approach which
generates incomplete information. We obtain a singular optimality
system characterizing the no-regret control for the Cauchy evolution
problems.

Mots-clés

optimal control no regret low regret

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