On a Class of Infinite-Dimensional Singular Stochastic Control Problems
DOI10.1137/20M136757XzbMath1467.93328arXiv1904.11450OpenAlexW3156276892MaRDI QIDQ4990321
Frank Riedel, Giorgio Ferrari, Salvatore Federico, Michael Roeckner
Publication date: 28 May 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.11450
semigroup theoryirreversible investmentfirst-order conditionsvector-valued integrationBank-El Karoui's representation theoreminfinite-dimensional singular stochastic control
Multivariable systems, multidimensional control systems (93C35) Microeconomic theory (price theory and economic markets) (91B24) Optimal stochastic control (93E20) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Actuarial science and mathematical finance (91G99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal dynamic procurement policies for a storable commodity with Lévy prices and convex holding costs
- On irreversible investment
- Stochastic partial differential equations: an introduction
- Optimal stopping of stochastic differential equations with delay driven by Lévy noise
- Representation and control of infinite dimensional systems
- Variational inequalities in Hilbert spaces with measures and optimal stopping problems
- On intertemporal preferences in continuous time. The case of certainty
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Optimal stopping in Hilbert spaces and pricing of American options
- Optimal consumption choice with intertemporal substitution
- A stochastic representation theorem with applications to optimization and obstacle problems.
- Singular control of SPDEs with space-mean dynamics
- On an integral equation for the free-boundary of stochastic, irreversible investment problems
- Spatial dynamics and convergence: the spatial AK model
- Controlled Markov processes and viscosity solutions
- Analytical pricing of American put options on a zero coupon bond in the Heath-Jarrow-Morton model
- Irreversible investment under Lévy uncertainty: an equation for the optimal boundary
- Generalized Kuhn--Tucker Conditions for N-Firm Stochastic Irreversible Investment under Limited Resources
- Stochastic Optimal Control in Infinite Dimension
- Optimal Control under a Dynamic Fuel Constraint
- One-Parameter Semigroups for Linear Evolution Equations
- Reflected BSDEs, optimal control and stopping for infinite-dimensional systems
- Mean Field Games with Singular Controls
- Stochastic Games for Fuel Follower Problem: $N$ versus Mean Field Game
- Markov Processes Associated With Positivity Preserving Coercive Forms
- Stochastic Equations in Infinite Dimensions
- Singular Control and Optimal Stopping of SPDEs, and Backward SPDEs with Reflection
This page was built for publication: On a Class of Infinite-Dimensional Singular Stochastic Control Problems