The aim of the present paper is to study the regularity properties of the solution of a backward stochastic differential equation with a monotone generator in infinite dimension. We show some applications to the nonlinear Kolmogorov equation and to stochastic optimal control.

Differentiability of backward stochastic differential equations in Hilbert spaces with monotone generators

CONFORTOLA, FULVIA
2008-01-01

Abstract

The aim of the present paper is to study the regularity properties of the solution of a backward stochastic differential equation with a monotone generator in infinite dimension. We show some applications to the nonlinear Kolmogorov equation and to stochastic optimal control.
2008
Monotone operators - Backward stochastic differential equations - Kolmogorov equations
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/546781
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