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Optimal Control of Stochastic Partial Differential Equations 

Author: Bernt Oslashksendal a
Affiliation:   a Center of Mathematics for Applications (CMA), Department of Mathematics, University of Oslo, Bergen, Oslo, Norway
DOI: 10.1081/SAP-200044467
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 23, Issue 1 January 2005 , pages 165 - 179
Formats available: HTML (English) : PDF (English)
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Abstract

We prove a sufficient maximum principle for the optimal control of systems described by a quasilinear stochastic heat equation. The result is applied to solve a problem of optimal harvesting from a system described by a stochastic reaction-diffusion equation.
Keywords: Optimal control; Stochastic forward and backward partial differential equations; Stochastic maximum principle
Mathematics Subject Classification: Primary 93E20; Secondary 60H15; 60G35; 93E11; 62M20
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