{ "id": "0905.3628", "version": "v1", "published": "2009-05-22T08:24:04.000Z", "updated": "2009-05-22T08:24:04.000Z", "title": "A Stochastic Optimal Control Problem for the Heat Equation on the Halfline with Dirichlet Boundary-noise and Boundary-control", "authors": [ "Federica Masiero" ], "journal": "Applied Mathematics & Optimization 2010, Volume 62, Issue 2, pp 253-294", "categories": [ "math.PR", "math.OC" ], "abstract": "We consider a controlled state equation of parabolic type on the halfline $(0,+\\infty)$ 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 menas of backward stochastic differential equations.", "revisions": [ { "version": "v1", "updated": "2009-05-22T08:24:04.000Z" } ], "analyses": { "keywords": [ "stochastic optimal control problem", "heat equation", "dirichlet boundary-noise", "infinite horizon optimal control problem" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }