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20132019
most citedExistence, Uniqueness and Regularity of Decoupling Fields to Multidimensional Fully Coupled FBSDEs

12 citations · 13 across the 4 of their papers we have counts for

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math.PR2018

The Skorokhod embedding problem for inhomogeneous diffusions

Stefan Ankirchner, Stefan Engelhardt, Alexander Fromm +1

We solve the Skorokhod embedding problem for a class of stochastic processes satisfying an inhomogeneous stochastic differential equation (SDE) of the form $d A_t =μ(t, A_t) d t +…

math.PR2018★ 1 cited

The method of decoupling fields generalized to higher spatial derivatives

Alexander Fromm

This work studies the spatial derivatives of decoupling fields to strongly coupled forward-backward stochastic differential equations in a Brownian setting. We formally deduce the…

math.PR2017

Utility maximization via decoupling fields

Alexander Fromm, Peter Imkeller

We consider the utility maximization problem for a general class of utility functions defined on the real line. We rely on existing results which reduce the problem to a coupled fo…

math.PR2014

An FBSDE approach to the Skorokhod embedding problem for Gaussian processes with non-linear drift

Alexander Fromm, Peter Imkeller, David J. Prömel

We solve the Skorokhod embedding problem for a class of Gaussian processes including Brownian motion with non-linear drift. Our approach relies on solving an associated strongly co…

math.PR2013

Existence and stability of measure solutions for BSDE with generators of quadratic growth

Alexander Fromm, Peter Imkeller, Jianing Zhang

With an emphasis on generators with quadratic growth in the control variable we consider measure solutions of BSDE, a solution concept corresponding to the notion of risk neutral m…

math.PR2013★ 12 cited

Existence, Uniqueness and Regularity of Decoupling Fields to Multidimensional Fully Coupled FBSDEs

Alexander Fromm, Peter Imkeller

We develop an existence, uniqueness and regularity theory for general multidimensional strongly coupled FBSDE using so called decoupling fields. We begin with a local result and ex…