23 citations · 101 across the 15 of their papers we have counts for
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Càdlàg Solutions to Backward Stochastic Dynamics featuring Oblique Subgradients and driven by Martingale Noise
Andreea Negruţ, Aurel Răşcanu, Eduard Rotenstein
The present study improves the qualitative analysis of backward stochastic variational dynamics on a general complete filtered probability space, considered in the spirit of Liang,…
Planar Obliquely Reflected BSVIs on General Filtered Spaces: Non-Symmetric Rotation Fields and Associated Control Problems
Andreea Negruţ, Aurel Răşcanu, Eduard Rotenstein
We prove existence and uniqueness of a càdlàg solution to a planar backward stochastic variational inequality on a general complete filtered probability space, driven by a square i…
Continuity of the Feynman-Kac formula for a generalized parabolic equation
Etienne Pardoux, Aurel Rascanu
It is well-known since the work of Pardoux and Peng [12] that Backward Stochastic Differential Equations provide probabilistic formulae for the solution of (systems of) second orde…
Multivalued Monotone Stochastic Differential Equations with Jumps
Lucian Maticiuc, Aurel Rascanu, Leszek Slominski
We study multivalued stochastic differential equations (MSDEs) with maximal monotone operators driven by semimartingales with jumps. We discuss in detail some methods of approximat…
Multivalued backward stochastic differential equations with oblique subgradients
Anouar Gassous, Aurel Rascanu, Eduard Rotenstein
We study the existence and uniqueness of the solution for the following backward stochastic variational inequality with oblique reflection (for short, …
On the continuity of the probabilistic representation of a semilinear Neumann-Dirichlet problem
Lucian Maticiuc, Aurel Răşcanu
In this article we prove the continuity of the deterministic function , defined by , where the process $…
Backward stochastic variational inequalities on random interval
Lucian Maticiuc, Aurel Răşcanu
The aim of this paper is to study, in the infinite dimensional framework, the existence and uniqueness for the solution of the following multivalued generalized backward stochastic…
Stochastic variational inequalities with oblique subgradients
Anouar M. Gassous, Aurel Rascanu, Eduard Rotenstein
In this paper we will study the existence and uniqueness of the solution for the stochastic variational inequality with oblique subgradients of the following form:{l} dX_{t}+H(X_{t…
Backward stochastic variational inequalities with locally bounded generators
Lucian Maticiuc, Aurel Rascanu, Adrian Zalinescu
The paper deals with the existence and uniqueness of the solution of the backward stochastic variational inequality: \begin{equation} \left\{\begin{array} {l}-dY_{t}+\partial φ(Y_{…