扭曲Lax-Oleinik公式和Hamilton-Jacobi方程的弱耦合系统

Annales de la faculté des sciences de Toulouse Mathématiques Pub Date : 2019-03-01 DOI:10.5802/AFST.1598

M. Zavidovique

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摘要

我们证明了Hamilton—Jacobi方程演化弱耦合系统的粘度解可以用迭代的扭曲Lax—Oleinik类算子近似。我们建立了迭代格式解的收敛性，并进一步讨论了近似解的性质。

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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Twisted Lax–Oleinik formulas and weakly coupled systems of Hamilton–Jacobi equations

We show that viscosity solutions of evolutionary weakly coupled systems of Hamilton--Jacobi equations can be approximated by iterated twisted Lax--Oleinik like operators. We establish convergence to the solution of the iterated scheme and discuss further properties of the approximate solutions.

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Annales de la faculté des sciences de Toulouse Mathématiques

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