Optimizing the fractional power in a model with stochastic PDE constraints

Carina Geldhauser, Enrico Valdinoci

Research output: Contribution to journalArticle

Abstract

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
Volume18
Issue number4
DOIs
Publication statusPublished - 1 Nov 2018

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Stochastic PDEs
Fractional Powers
pulse detonation engines
State Equation
equations of state
Optimality Conditions
Differentiability
Well-posedness
Control Parameter
Control Problem
Fractional
Optimization Problem
operators
optimization
Operator
Model

Cite this

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Optimizing the fractional power in a model with stochastic PDE constraints. / Geldhauser, Carina; Valdinoci, Enrico.

In: Advanced Nonlinear Studies, Vol. 18, No. 4, 01.11.2018, p. 649-669.

Research output: Contribution to journalArticle

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AU - Valdinoci, Enrico

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