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- Laboratoire de Mathématiques Nicolas OresmeFR43 papers
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5 papers · 2 filters
Generalized backward doubly stochastic differential equations driven by Lévy processes with non-Lipschitz coefficients
Auguste Aman, Jean Marc Owo
We prove an existence and uniqueness result for generalized backward doubly stochastic differential equations driven by Lévy processes with non-Lipschitz assumptions.
Homeomorphism of solutions to backward doubly SDEs and applications
Auguste Aman
In this paper we study the homeomorphic properties of the solutions to one dimensional backward doubly stochastic differential equations under suitable assumptions, where the termi…
Lp-solution of backward doubly stochastic differential equations
Auguste Aman
In this paper, our goal is solving backward doubly stochastic differential equation (BDSDE for short) under weak assumptions on the data. The first part of the paper is devoted to…
Existence of an Optimal Control for Stochastic Systems with Nonlinear Cost Functional
Rainer Buckdahn, Boubakeur Labed, Catherine Rainer +1
We consider a stochastic control problem which is composed of a controlled stochastic differential equation, and whose associated cost functional is defined through a controlled ba…
Transportation-information inequalities for Markov processes (II) : relations with other functional inequalities
Arnaud Guillin, Christian Leonard, Feng-Yu Wang +1
We continue our investigation on the transportation-information inequalities for a symmetric markov process, introduced and studied in \cite{GLWY}. We prove that impl…