Optimizing the fractional power in a model with stochastic PDE constraints
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Publication:1632058
DOI10.1515/ans-2018-2031OpenAlexW2746425213WikidataQ129253366 ScholiaQ129253366MaRDI QIDQ1632058
Carina Geldhauser, Enrico Valdinoci
Publication date: 12 December 2018
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.09329
Numerical optimization and variational techniques (65K10) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Optimal control with stochastic PDE constraints and uncertain controls
- Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise
- Finite element approximations of stochastic optimal control problems constrained by stochastic elliptic PDEs
- Asymptotic distribution of some quadratic functionals of linear stochastic evolution systems
- Getting acquainted with the fractional Laplacian
- Optimal rate control under geologic uncertainty: water flood and EOR processes
- Brownian Motion, Martingales, and Stochastic Calculus
- Block-Diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs
- A Space-Time Fractional Optimal Control Problem: Analysis and Discretization
- A Trust-Region Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty
- Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations
- On the spectrum of two different fractional operators
- An Introduction to Computational Stochastic PDEs
- A New Type of Identification Problems: Optimizing the Fractional Order in a Nonlocal Evolution Equation
- Error Estimates of Stochastic Optimal Neumann Boundary Control Problems
- A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators
- Some applications of weighted norm inequalities to the error analysis of PDE-constrained optimization problems
- Stochastic Collocation for Optimal Control Problems with Stochastic PDE Constraints
- Stochastic Equations in Infinite Dimensions
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