Regularity of viscosity solutions near KAM torus |
| |
| Authors: | Liang ZhenGuo Yan Jun |
| |
| Institution: | (1) School of Mathematical Sciences and Key Lab of Mathematics for Nonlinear Science, Fudan University, Shanghai, 200433, China |
| |
| 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) =
(P).
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) |
| |
| Keywords: | viscosity solutions KAM torus Hamilton-Jacobi equation |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
|
