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math.OC2019★ 2 cited
Moreau-Yosida Regularization for Optimal Control of Fractional Elliptic Problems with State and Control Constraints
Harbir Antil, Thomas S. Brown, Deepanshu Verma
Recently the authors have studied a state and control constrained optimal control problem with fractional elliptic PDE as constraints. The goal of this paper is to continue that pr…
math.OC2019
Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the dual of Fractional Order Sobolev Spaces
Harbir Antil, Deepanshu Verma, Mahamadi Warma
This paper introduces the notion of state constraints for optimal control problems governed by fractional elliptic PDEs of order . There are several mathematical tools…
math.OC2019
External optimal control of fractional parabolic PDEs
Harbir Antil, Deepanshu Verma, Mahamadi Warma
In this paper we introduce a new notion of optimal control, or source identification in inverse, problems with fractional parabolic PDEs as constraints. This new notion allows a so…