Quantitative Comparison Results for First-Order Hamilton-Jacobi Equations

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2025-12-15 DOI:10.1007/s10440-025-00759-1

Vincenzo Amato, Luca Barbato

引用次数: 0

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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一阶Hamilton-Jacobi方程的定量比较结果

本文研究了一阶Hamilton-Jacobi方程经典对称化结果的一个定量改进。我们证明了Giarrusso和Nunziante建立的比较结果中的缺陷既控制了区域的不对称性，也控制了解和数据与径向对称的偏差。这就产生了Giarrusso-Nunziante不等式的一个稳定版本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.