Quantitative comparison results for first-order Hamilton-Jacobi equations

2024/07/28 by Vincenzo Amato, Amato, Vincenzo, Luca Barbato +1 · 1 citation
Mathematics · Physics and Astronomy · #35B35 #35B51 #35F21 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2407.19504

openalex publication_date 2024/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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