2 papers
math.AP2026
On Viscosity Solutions of Hamilton-Jacobi Equations in the Wasserstein space and the Vanishing Viscosity Limit
Giacomo Ceccherini Silberstein, Daniela Tonon
The aim of this article is twofold. First, we develop a unified framework for viscosity solutions to both first-order Hamilton-Jacobi equations and semilinear Hamilton-Jacobi equat…
math.AP2025
On the doubling of variables technique in first order Hamilton-Jacobi equations
Charles Bertucci, Giacomo Ceccherini Silberstein
In this paper, we revisit the technique of doubling variables in first order Hamilton-Jacobi equations, especially when the equations arise in optimal control. We show that by tuni…