Low-regret control of a nonlinear parabolic problem with missing data
DOI:
https://doi.org/10.24193/subbmath.2026.2.10Keywords:
nonlinear parabolic problem, no-regret, low-regret, adapted low-regret controlAbstract
We consider the optimal control of a nonlinear parabolic problem with missing data. Using the concepts of no-regret control, lowregret control and adapted low regret control, we give a characterization of the control for ill-posed problems. More
precisely, we study the control of a nonlinear parabolic problem using a regularization approach that generates incomplete information.
We obtain a singular optimality system characterizing the no-regret control for the nonlinear parabolic problem.
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