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Optimizing the fractional power in a model with stochastic PDE constraints

Geldhauser, Carina LU orcid and Valdinoci, Enrico (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:
author
and
publishing date
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}},
}