A Stochastic Optimal Control Problem for the Heat Equation on the Halfline with Dirichlet Boundary-Noise and Boundary-Control
Journal Article
·
· Applied Mathematics and Optimization
- Universita di Milano-Bicocca, Dipartimento di Matematica e Applicazioni (Italy)
We consider a controlled state equation of parabolic type on the halfline (0,+{infinity}) with boundary conditions of Dirichlet type in which the unknown is equal to the sum of the control and of a white noise in time. We study finite horizon and infinite horizon optimal control problem related by means of backward stochastic differential equations.
- OSTI ID:
- 21480255
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 62; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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