Quantitative comparison results for first-order Hamilton-Jacobi equations
Analysis of PDEs
2025-11-21 v3
Abstract
In this paper, we study a quantitative refinement of a classical symmetrisation result for first-order Hamilton-Jacobi equations. We prove that the deficit in the comparison result, established by Giarrusso and Nunziante, controls both the asymmetry of the domain and the deviation of the solution and data from radial symmetry. This yields a stability version of the Giarrusso-Nunziante inequality.
Keywords
Cite
@article{arxiv.2407.19504,
title = {Quantitative comparison results for first-order Hamilton-Jacobi equations},
author = {Vincenzo Amato and Luca Barbato},
journal= {arXiv preprint arXiv:2407.19504},
year = {2025}
}