3 papers
math.AP2025
Stochastic Homogenization of the Hamilton-Jacobi Equation on Manifolds
Marco Pozza, Alfonso Sorrentino
This article establishes a stochastic homogenization result for the first order Hamilton-Jacobi equation on a Riemannian manifold , in the context of a stationary ergodic random…
math.AP2024
Aubry Set of Eikonal Hamilton-Jacobi Equations on Networks
Marco Pozza
We extend the study of eikonal Hamilton-Jacobi equations posed on networks performed by Siconolfi and Sorrentino (Anal. PDE, 2018) to a more general setting. Their approach essenti…
math.NA2024
Error Estimate for a Semi-Lagrangian Scheme for Hamilton-Jacobi Equations on Networks
Elisabetta Carlini, Valentina Coscetti, Marco Pozza
We examine the numerical approximation of time-dependent Hamilton-Jacobi equations on networks, providing a convergence error estimate for the semi-Lagrangian scheme introduced in…