Homogenization of reflected semilinear PDE with nonlinear Neumann boundary condition

Abstract

We study the homogenization problem of semi linear reflected partial differential equations (reflected PDEs for short) with nonlinear Neumann conditions. The non-linear term is a function of the solution but not of its gradient. The proof are fully probabilistic and uses weak convergence of associated reflected generalized backward differential stochastic equations (reflected GBSDEs in short).

Ce papier a 19 pages et est soumis pour publication dans Stochastic Analysis and Applications