Optimizing the fractional power in a model with stochastic PDE constraints
(2018) In Advanced Nonlinear Studies 18(4). p.649-669- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/9f8daee8-6341-4ef9-b18d-ec584389e488
- author
- Geldhauser, Carina LU and Valdinoci, Enrico
- publishing date
- 2018-11-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Fractional Parameter, Optimal Control, Optimization, Stochastic Heat Equation
- in
- Advanced Nonlinear Studies
- volume
- 18
- issue
- 4
- pages
- 21 pages
- publisher
- De Gruyter
- external identifiers
-
- scopus:85053700583
- ISSN
- 1536-1365
- DOI
- 10.1515/ans-2018-2031
- language
- English
- LU publication?
- no
- id
- 9f8daee8-6341-4ef9-b18d-ec584389e488
- date added to LUP
- 2021-02-08 12:14:20
- date last changed
- 2022-03-18 23:20:24
@article{9f8daee8-6341-4ef9-b18d-ec584389e488, abstract = {{<p>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.</p>}}, author = {{Geldhauser, Carina and Valdinoci, Enrico}}, issn = {{1536-1365}}, keywords = {{Fractional Parameter; Optimal Control; Optimization; Stochastic Heat Equation}}, language = {{eng}}, month = {{11}}, number = {{4}}, pages = {{649--669}}, publisher = {{De Gruyter}}, series = {{Advanced Nonlinear Studies}}, title = {{Optimizing the fractional power in a model with stochastic PDE constraints}}, url = {{http://dx.doi.org/10.1515/ans-2018-2031}}, doi = {{10.1515/ans-2018-2031}}, volume = {{18}}, year = {{2018}}, }