Work

Quantitative Comparison Results for First-Order Hamilton-Jacobi Equations

Year: 2025

Type: article

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.

Source: Acta Applicandae Mathematicae

DOI: 10.1007/s10440-025-00759-1

Authors: Vincenzo Amato, Luca Barbato

Institution: Scuola Superiore Meridionale

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni