Differentiability of backward stochastic differential equations in Hilbert spaces with monotone generators
classification
🧮 math.PR
keywords
stochasticbackwarddifferentialequationmonotoneapplicationscontroldifferentiability
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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.
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