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math.OC2022
A posteriori error estimates for an optimal control problem with a bilinear state equation
Francisco Fuica, Enrique Otarola
We propose and analyze a posteriori error estimators for an optimal control problem that involves an elliptic partial differential equation as state equation and a control variable…
math.OC2019
Optimal control of a parabolic fractional PDE: analysis and discretization
Christian Glusa, Enrique Otarola
We consider the integral definition of the fractional Laplacian and analyze a linear-quadratic optimal control problem for the so-called fractional heat equation; control constrain…
math.OC2018
A priori error estimates for the optimal control of the integral fractional Laplacian
Marta D'Elia, Christian Glusa, Enrique Otarola
We design and analyze solution techniques for a linear-quadratic optimal control problem involving the integral fractional Laplacian. We derive existence and uniqueness results, fi…