2 papers
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…
math.DS2016
Quasi-periodic solutions for perturbed generalized nonlinear vibrating string equation with singularities
Chengming Cao, Xiaoping Yuan
{\bf Abstract}: The existence of 2-dimensional KAM tori is proved for the perturbed generalized nonlinear vibrating string equation with singularities $u_{tt}=((1-x^2)u_x)_x-mu-u^3…