Regularity of viscosity solutions near KAM torus

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：LittleCam

【摘要】

：

In this paper, we give weak regularity theorems on P of u~ε(x, P), where u~ε(x, P)is the viscosity solution of the cell problem H_ε(P+D_xu~ε, x)=H_ε(P).

【作者】

：

ZhenGuo Liang (1) Jun Yan

【机构】

：

1.SchoolofMathematicalSciencesandKeyLabofMathematicsforNonlinearScience

【出处】

：

中国科学：数学英文版

【发表日期】

：

2008年3期

【关键词】

：

VISCOSITY solutions KAM TORUS HAMILTON-JACOBI equation viscosity solutions KAM t

【基金项目】

：

the National Natural Science Foundation of China (Grant Nos. 10701027, 10601013),Science and Technology Commission of Shanghai Municipality (Grant No. 06JC14005)

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In this paper, we give weak regularity theorems on P of u~ε(x, P), where u~ε(x, P)is the viscosity solution of the cell problem H_ε(P+D_xu~ε, x)=H_ε(P).

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Regularity of viscosity solutions near KAM torus

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