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math.AP2026
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…
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.AP2025
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…