2 citations · 3 across the 5 of their papers we have counts for
5 papers
Lax-Oleinik formula for nonautonomous Hamilton-Jacobi equations on networks
Marco Pozza
We provide a Lax-Oleinik-type representation formula for solutions to nonautonomous Hamilton-Jacobi equations posed on networks with a rather general geometry. The networks may pos…
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…
Numerical Approximation of the Critical Value of Eikonal Hamilton-Jacobi Equations on Networks
Valentina Coscetti, Marco Pozza
The critical value of an eikonal equation is the unique value of a parameter for which the equation admits solutions and is deeply related to the effective Hamiltonian of a corresp…
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…
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…