Optimizing the fractional power in a model with stochastic PDE constraints

Carina Geldhauser; Enrico Valdinoci

doi:10.1515/ans-2018-2031

Optimizing the fractional power in a model with stochastic PDE constraints

Carina Geldhauser, Enrico Valdinoci

School of Physics, Maths and Computing

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	649-669
Number of pages	21
Journal	Advanced Nonlinear Studies
Volume	18
Issue number	4
DOIs	https://doi.org/10.1515/ans-2018-2031
Publication status	Published - 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

Geldhauser, C., & Valdinoci, E. (2018). Optimizing the fractional power in a model with stochastic PDE constraints. Advanced Nonlinear Studies, 18(4), 649-669. https://doi.org/10.1515/ans-2018-2031

Geldhauser, Carina ; Valdinoci, Enrico. / Optimizing the fractional power in a model with stochastic PDE constraints. In: Advanced Nonlinear Studies. 2018 ; Vol. 18, No. 4. pp. 649-669.

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Geldhauser, C & Valdinoci, E 2018, 'Optimizing the fractional power in a model with stochastic PDE constraints' Advanced Nonlinear Studies, vol. 18, no. 4, pp. 649-669. https://doi.org/10.1515/ans-2018-2031

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 journal › Article

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