activity
20152022
most citedExistence and uniqueness for backward stochastic differential equations driven by a random measure

7 citations · 8 across the 5 of their papers we have counts for

collaborators

6 papers

math.PR20221 cited

Path-dependent SDEs with jumps and irregular drift: well-posedness and Dirichlet properties

Elena Bandini, Francesco Russo

We discuss a concept of path-dependent SDE with distributional drift with possible jumps. We interpret it via a suitable martingale problem, for which we provide existence and uniq…

math.PR2020

The identification problem for BSDEs driven by possibly non quasi-left-continuous random measures

Elena Bandini, Francesco Russo

In this paper we focus on the so called identification problem for a backward SDE driven by a continuous local martingale and a possibly non quasi-left-continuous random measure. S…

math.OC2019

Optimal control of infinite-dimensional Piecewise Deterministic Markov Processes: a BSDE approach. Application to the control of an excitable cell membrane

Elena Bandini, Michele Thieullen

In this paper we consider the optimal control of Hilbert space-valued infinite-dimensional Piecewise Deterministic Markov Processes (PDMP) and we prove that the corresponding value…

math.PR2019

A nonlinear Bismut-Elworthy formula for HJB equations with quadratic Hamiltonian in Banach spaces

Davide Addona, Elena Bandini, Federica Masiero

We consider a Backward Stochastic Differential Equation (BSDE for short) in a Markovian framework for the pair of processes , with generator with quadratic growth with respe…

math.PR2018

BSDE Representation and Randomized Dynamic Programming Principle for Stochastic Control Problems of Infinite-Dimensional Jump-Diffusions

Elena Bandini, Fulvia Confortola, Andrea Cosso

We consider a general class of stochastic optimal control problems, where the state process lives in a real separable Hilbert space and is driven by a cylindrical Brownian motion a…

math.PR20157 cited

Existence and uniqueness for backward stochastic differential equations driven by a random measure

Elena Bandini

We study the following backward stochastic differential equation on finite time horizon driven by an integer-valued random measure on , where is a Lusi…