Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Infinite Horizon Stochastic Optimal Control Problems with Degenerate Noise and Elliptic Equations in Hilbert Spaces

Journal Article · · Applied Mathematics and Optimization
 [1]
  1. Dipartimento Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 (Italy)
Semilinear elliptic partial differential equations are solved in a mild sense in an infinite-dimensional Hilbert space. These results are applied to a stochastic optimal control problem with infinite horizon. Applications to controlled stochastic heat and wave equations are given.
OSTI ID:
21064187
Journal Information:
Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 3 Vol. 55; ISSN 0095-4616
Country of Publication:
United States
Language:
English

Similar Records

Semilinear Kolmogorov Equations and Applications to Stochastic Optimal Control
Journal Article · Mon Mar 14 23:00:00 EST 2005 · Applied Mathematics and Optimization · OSTI ID:21067447

Necessary Conditions for Optimal Control of Stochastic Evolution Equations in Hilbert Spaces
Journal Article · Wed Jun 15 00:00:00 EDT 2011 · Applied Mathematics and Optimization · OSTI ID:22043924

Backward Stochastic Riccati Equations and Infinite Horizon L-Q Optimal Control with Infinite Dimensional State Space and Random Coefficients
Journal Article · Tue Apr 15 00:00:00 EDT 2008 · Applied Mathematics and Optimization · OSTI ID:21064175