10–14 juin 2024
Institut de mathématiques de Bordeaux
Fuseau horaire Europe/Paris

Approximation of reflected SDEs in non-smooth time-dependent domains and application to fully nonlinear PDEs with Neumann boundary condition on time-dependent domains

11 juin 2024, 16:50
30m
Salle de Conférénces (Institut de mathématiques de Bordeaux)

Salle de Conférénces

Institut de mathématiques de Bordeaux

351, cours de la Libération. Bâtiment A33, U-Bordeaux. Indications de comment venir de la gare ou de l'aéroport sur le lien

Orateur

Manal Jakani (ENSAE Paris)

Description

We consider a class of reflected stochastic differential equations in non-smooth time-dependent domains with time sections that are increasing with time. We provide a strong approximation for this type of equations using a sequence of a standard type. As a consequence, we obtain an approximation scheme for the associated generalized backward stochastic differential equations in this markovian setting using standard backward stochastic differential equations. As a by-product, we get an approximation by a sequence of standard partial differential equations for the solution of a system of partial differential equations with nonlinear boundary conditions on time-dependent domains.

Auteur principal

Manal Jakani (ENSAE Paris)

Documents de présentation

Aucun document.