On Commuting Tonelli Hamiltonians: Time-periodic Case
On Commuting Tonelli Hamiltonians: Time-periodic Case作者机构:Department of Mathematics Nanjing University
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2014年第30卷第10期
页 面:1698-1718页
核心收录:
学科分类:0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 071101[理学-系统理论] 0701[理学-数学]
基 金:Supported by National Natural Science Foundation of China(Grant Nos.11271181 and 10801071) the Research Fellowship for Postdoctoral Researchers from the Alexander von Humboldt Foundation the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAAD) the Fundamental Research Funds for Central Universities
主 题:Aubry set Mane set barrier function viscosity solution
摘 要:We show that the Aubry sets, the Mane sets and the barrier functions are the same for two commuting time-periodic Tonelli Hamiltonians.