Order property and modulus of continuity of weak KAM solutions

被引：5

作者：

Cheng, Chong-Qing ^{[1
]}

Xue, Jinxin ^{[2
]}

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210023, Jiangsu, Peoples R China

[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 57卷 / 02期

关键词：

HAMILTON-JACOBI EQUATIONS; LAGRANGIAN SYSTEMS; EXISTENCE; DIFFUSION; ORBITS;

D O I：

10.1007/s00526-018-1324-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Hamilton-Jacobi equation H(x, partial derivative(x)u + c) = alpha(c) with chi is an element of T-2, it is shown in this paper that, for all c is an element of alpha(-1)(E) with E > min alpha, the elementary weak KAM solutions can be parameterized so that they are 1/3-Holder continuous in C-0-topology.

引用

页数：27

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