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math.DS2020★ 1 cited
The existence of full dimensional invariant tori for an almost-periodically forced nonlinear beam equation
Shujuan Liu, Guanghua Shi
In this paper, we prove the existence of full dimensional invariant tori for a non-autonomous, almost-periodically forced nonlinear beam equation with a periodic boundary condition…
math.DS2019
KAM tori for the generalized Bejamin-Bona-Mahony equation
Guanghua Shi, Dongfeng Yan
A generalized Benjamin-Bona-Mahony (gBBM) equation subject to the periodic boundary condition is studied in this paper. Based on a new infinite dimensional Kolomogorov-Arnold-Moser…
math.DS2016
Weak KAM Theorem for a Class of Infinite-Dimensional Lagrangian systems
Guanghua Shi, Cheng Yang
In this paper, we study infinite-dimensional Lagrangian systems where the potential functions are periodic, rearrangement invariant and weakly upper semicontinuous. And we prove th…