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Teoriya Veroyatnostei i ee Primeneniya, 1980, Volume 25, Issue 1, Pages 44–58
(Mi tvp984)
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On the control of Brownian motion in a half-plane with an
oblique reflection on the boundary
S. V. Anulova Moscow
Abstract:
We consider a control problem for a Brownian motion in a halfplane with an oblique
reflection on the boundary. The problem is analysed in a manner similar to that of
N. V. Krylov. The reward function is identified with the solution of a corresponding partial
differential equation with boundary conditions.
Received: 17.03.1977
Citation:
S. V. Anulova, “On the control of Brownian motion in a half-plane with an
oblique reflection on the boundary”, Teor. Veroyatnost. i Primenen., 25:1 (1980), 44–58; Theory Probab. Appl., 25:1 (1980), 41–57
Linking options:
https://www.mathnet.ru/eng/tvp984 https://www.mathnet.ru/eng/tvp/v25/i1/p44
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