Optimizing the Fractional Power in a Model with Stochastic PDE Constraints

We study an optimization problem with SPDE constraints, which has the peculiarity that the control parameter s is the s-th power of the diffusion operator in the state equation. Well-posedness of the state equation and differentiability properties with respect to the fractional parameter s are estab...

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Bibliographic Details
Main Authors: Geldhauser Carina, Valdinoci Enrico
Format: Article
Language:English
Published: De Gruyter 2018-11-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2018-2031