Xiaoping Yuan

activity

20062021

most citedA KAM theorem with applications to partial equations of higher dimension

26 citations · 31 across the 10 of their papers we have counts for

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math.AP2021

A note on stability of Eliasson-Kuksin's KAM tori for the nonlinear Schrödinger equation

Xiaolong He, Jia Shi, Xiaoping Yuan

Eliasson and Kuksin developed a KAM approach to study the persistence of the invariant tori for nonlinear Schrödinger equation on $T^{d}$ . In this note, we improve Eliasso…

math.AP2019

The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation

Hongzi Cong, Xiaoping Yuan

In this paper we prove the existence and linear stability of full dimensional tori with subexponential decay for 1-dimensional nonlinear wave equation with external parameters, whi…