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Regularity of viscosity solutions near KAM torus

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Abstract

In this paper, we give weak regularity theorems on P of u ɛ(x, P), where u ɛ(x, P) is the viscosity solution of the cell problem H ɛ(P + D x u ɛ, x) = \(\overline H _\varepsilon \)(P).

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Authors and Affiliations

  1. School of Mathematical Sciences and Key Lab of Mathematics for Nonlinear Science, Fudan University, Shanghai, 200433, China

    Liang ZhenGuo & Yan Jun

Authors
  1. Liang ZhenGuo
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  2. Yan Jun
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Correspondence to Liang ZhenGuo.

Additional information

This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 10701027, 10601013) and Science and Technology Commission of Shanghai Municipality (Grant No. 06JC14005)

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Liang, Z., Yan, J. Regularity of viscosity solutions near KAM torus. Sci. China Ser. A-Math. 51, 361–368 (2008). https://doi.org/10.1007/s11425-008-0031-1

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  • DOI: https://doi.org/10.1007/s11425-008-0031-1

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