OPTIMAL CONTROL OF A NONLINEAR ELLIPTICAL EVOLUTION PROBLEM WITH MISSING DATA
Keywords:
optimal control, no-regret, low-regret, adapted low-regret controlDOI:
https://doi.org/10.17654/0974324323009Abstract
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.
Received: December 14, 2022
Revised: February 7, 2023
Accepted: April 4, 2023
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