Time-Periodic Evans Approach to Weak KAM Theory

Hector Sanchez Morgado

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Time-Periodic Evans Approach to Weak KAM Theory

机译：用于弱金埃文斯方法理论

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摘要

We study the time-periodic version of Evans approach to weak KAM theory. Evans minimization problem is equivalent to a first order mean field game system. For the mechanical Hamiltonian we prove the existence of smooth solutions. We introduce the corresponding effective Lagrangian and Hamiltonian and prove that they are smooth. We also consider the limiting behavior of the effective Lagrangian and Hamiltonian, Mather measures and minimizers.

机译：研究了用于版本的埃文斯弱锦理论方法。问题是相当于一阶的意思游戏系统。证明光滑解的存在性。介绍了相应的有效的拉格朗日哈密顿和证明他们是光滑的。我们也考虑到限制的行为有效的拉格朗日和哈密顿,马瑟措施,解。

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来源
《Minimax theory and its applications》 |2018年第2期|313-322|共10页
作者
Hector Sanchez Morgado;
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作者单位

Institute de Matemáticas, Universidad Nacional Autónoma de Mexico, Cd. de México, C. P. 04510, Mexico;

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原文格式 PDF
正文语种英语
中图分类
关键词
Hamiltonian; Lagrangian; smoothingtheoriesEquivalent;

机译：哈密顿;拉格朗日;smoothingtheoriesEquivalent;

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Time-Periodic Evans Approach to Weak KAM Theory

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