Busemann Functions for the N-Body Problem

被引：7

作者：

Percino, Boris ^{[1
]}

Sanchez-Morgado, Hector ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2014年 / 213卷 / 03期

关键词：

Boris; Viscosity Solution; Triangle Inequality; Jacobi Equation; Busemann Function;

D O I：

10.1007/s00205-014-0748-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Following ideas in Maderna and Venturelli (Arch Ration Mech Anal 194:283-313, 2009), we prove that the Busemann function of the parabolic homotetic motion for a minimal central coniguration of the N-body problem is a viscosity solution of the Hamilton-Jacobi equation and that its calibrating curves are asymptotic to the homotetic motion.

引用

页码：981 / 991

页数：11

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