Rigidité symplectique et EDPs hamiltoniennes

This work is based on the concept of differen- tial flatness for finite dimensional systems intro- duced in (Fliess et al., 1995), which has already been extended to

[7] Fuhrman, M.; Tessitore, G.; Non linear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to

We prove a center-stable manifold theorem for a class of differential equations in (infinite-dimensional) Banach spaces..

Tessitore, Nonlinear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to optimal control, Ann..

Then we focus on partial differential equations (PDEs), and present a well-known method, the Finite Element Method (FEM), to approximate the solution of elliptic PDEs.. The last

Numerical methods for parabolic partial differential equations (PDEs) are largely developed in the literature, on finite difference scheme, finites elements scheme, semi-

Key words : Semilinear functional differential equations, Semilinear func- tional differential equations of second order, random mild solution, ran- dom fixed-point, infinite

Tessitore, Nonlinear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to optimal control. Tessitore,