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G. Prato, M. Fuhrman, J. Zabczyk (2002)
A Note on Regularizing Properties of Ornstein — Uhlenbeck Semigroups in Infinite DimensionsDifferential Equations and Applications
Isabel Simāo (1993)
Regular transition densities for infinite dimensional diffusionsStochastic Analysis and Applications, 11
M. Fuhrman (2003)
A class of stochastic optimal control problems in Hilbert spaces: BSDEs and optimal control laws, stFuel and Energy Abstracts
M. Fuhrman, G. Tessitore (2002)
The Bismut-Elworthy formula for backward SDE's and applications to nonlinear Kolmogorov equations and control in infinite dimensional spacesStochastics and Stochastic Reports, 74
Jin Feng, T. Kurtz (2006)
Stochastic equations in infinite dimensions
É. Pardoux, S. Peng (1990)
Adapted solution of a backward stochastic differential equationSystems & Control Letters, 14
B. Øksendal, Tusheng Zhang (2001)
On Backward Stochastic Partial Differential Equations.
N. Karoui, S. Peng, M. Quenez (1997)
Backward Stochastic Differential Equations in FinanceMathematical Finance, 7
(1996)
BSDEs with continuous coefficients and stochastic differential games
Fulvia Confortola (2006)
Dissipative backward stochastic differential equations in infinite dimensionsInfinite Dimensional Analysis, Quantum Probability and Related Topics, 09
Fulvia Confortola (2007)
Dissipative backward stochastic differential equations with locally Lipschitz nonlinearityStochastic Processes and their Applications, 117
K. Elworthy (1997)
ERGODICITY FOR INFINITE DIMENSIONAL SYSTEMS (London Mathematical Society Lecture Note Series 229) By G. Da Prato and J. Zabczyk: 339 pp., £29.95, LMS Members' price £22.47, ISBN 0 521 57900 7 (Cambridge University Press, 1996).Bulletin of The London Mathematical Society, 29
Ying Hu, S. Peng (1991)
Adapted solution of a backward semilinear stochastic evolution equationStochastic Analysis and Applications, 9
É. Pardoux, A. Rășcanu (1999)
Backward stochastic variational inequalitiesStochastics and Stochastics Reports, 67
Isabel Simāo (1993)
Regular fundamental solution for a parabolic equation on an infinite–dimensional spaceStochastic Analysis and Applications, 11
Ying Hu, Jinjin Ma (2004)
Nonlinear Feynman-Kac formula and discrete-functional-type BSDEs with continuous
W. Ames, C. Brezinski (1991)
Measures and Differential Equations in Infinite-Dimensional Space
M. Fuhrman, G. Tessitore (2004)
Infinite horizon backward stochastic differential equations and elliptic equations in Hilbert spacesAnnals of Probability, 32
G. Guatteri, G. Tessitore (2005)
On the Backward Stochastic Riccati Equation in Infinite DimensionsSIAM J. Control. Optim., 44
Isabel Simāo (1991)
A conditioned ornstein–uhlenbeck process on a hilbert spaceStochastic Analysis and Applications, 9
G. Guatteri (2007)
ON A CLASS OF FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL SYSTEMS IN INFINITE DIMENSIONSJournal of Applied Mathematics and Stochastic Analysis, 2007
M. Fuhrman, G. Tessitore (2002)
Nonlinear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to optimal controlAnnals of Probability, 30
S. Peszat, J. Zabczyk (1995)
Strong Feller Property and Irreducibility for Diffusions on Hilbert SpacesAnnals of Probability, 23
In this paper we prove the existence of a solution to backward stochastic differential equations in infinite dimensions with continuous driver under various assumptions. We apply our results to a stochastic game problem with infinitely many players.
Applied Mathematics and Optimization – Springer Journals
Published: Sep 1, 2007
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