Weak KAMtheorem for Hamilton-Jacobi equations with Neumann boundary conditions on noncompact manifolds

被引：0

作者：

Kong, Yuedong ^{[1
]}

Xu, Junxiang ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 14期

基金：

中国国家自然科学基金;

关键词：

Hamilton-Jacobi equation; weak KAM theory; noncompact manifold; Neumann boundary condition; PARTIAL-DIFFERENTIAL-EQUATIONS; DEFINITE LAGRANGIAN SYSTEMS; VISCOSITY SOLUTIONS; KAM THEORY; CONVERGENCE;

D O I：

10.1002/mma.3273

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider Hamilton-Jacobi equations with homogeneous Neumann boundary condition. We establish some results on noncompact manifold with homogeneous Neumann boundary conditions in view of weak Kolmogorov-Arnold-Moser (KAM) theory, which is a generalization of the results obtained by Fathi under the non-bounded condition. Copyright (C) 2014 John Wiley & Sons, Ltd.

引用

页码：2974 / 2983

页数：10

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