Skander Charfi

collaborators

3 papers

math.DS2025

A Multidimensional Birkhoff Theorem for Recurrent Lagrangian Submanifolds by a Tonelli Hamiltonian

Skander Charfi

Consider a closed manifold $M$ and a time-periodic Tonelli Hamiltonian $H : R / Z \times T^{*} M \to R$ with flow $I ¨ _{H}$ . Let $L \subset T^{*} M$ be a…

math.DS2025

A Smooth, Recurrent, Non-Periodic Viscosity Solution of the Hamilton-Jacobi Equation

Skander Charfi

Viscosity solutions of the Hamilton-Jacobi equation were introduced by Lions and Crandall. For Tonelli Hamiltonians, these solutions are generated by the Lax-Oleinik operator. It i…

math.DS2025

Representation of Global Viscosity Solutions for Tonelli Hamiltonians

Skander Charfi

We consider the Lax-Oleinik operator $T$ associated with the non-stationary Hamilton-Jacobi equation $\partial_{t} u + H (t, x, \partial_{x} u) = I^\pm_{0}$ for a Tonelli Hamiltonian $…