Games associated with products of eigenvalues of the Hessian

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/mine.2023066

P. Blanc, Fernando Charro, J. Manfredi, J. Rossi

引用次数: 1

Abstract

We introduce games associated with second-order partial differential equations given by arbitrary products of eigenvalues of the Hessian. We prove that, as a parameter that controls the step length goes to zero, the value functions of the games converge uniformly to a viscosity solution of the partial differential equation. The classical Monge-Ampère equation is an important example under consideration.

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与黑森特征值乘积相关的博弈

我们引入了由Hessian特征值的任意乘积给出的二阶偏微分方程相关的对策。我们证明了当控制步长趋近于零的参数时，对策的值函数一致收敛于偏微分方程的黏性解。经典的monge - ampantere方程是一个重要的例子。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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