Optimizing the fractional power in a model with stochastic PDE constraints

Carina Geldhauser, Enrico Valdinoci

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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 established. We show that under certain conditions on the noise, optimality conditions for the control problem can be established.

Original languageEnglish
Pages (from-to)649-669
Number of pages21
JournalAdvanced Nonlinear Studies
Issue number4
Publication statusPublished - 1 Nov 2018


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