4 papers
Well-posedness of the discrete nonlinear Schrödinger equations and the Klein-Gordon equations
Yifei Wu, Zhibo Yang, Qi Zhou
The primary objective of this paper is to investigate the well-posedness theories associated with the discrete nonlinear Schrödinger equation and Klein-Gordon equation. These theor…
Non-relativistic limit for the cubic nonlinear Klein-Gordon equations
Zhen Lei, Yifei Wu
We investigate the non-relativistic limit of the Cauchy problem for the defocusing cubic nonlinear Klein-Gordon equations whose initial velocity contains a factor of , with $c…
Instability of the solitary waves for the Generalized Benjamin-Bona-Mahony Equation
Rui Jia, Yifei Wu
In this work, we consider the generalized Benjamin-Bona-Mahony equation $$\partial_t u+\partial_x u+\partial_x( |u|^pu)-\partial_t \partial_x^{2}u=0, \quad(t,x) \in \mathbb{R} \tim…
Global existences and asymptotic behavior for semilinear heat equation
Avy Soffer, Yifei Wu, Xiaohua Yao
In this paper, we consider the global Cauchy problem for the -critical semilinear heat equations with , where is an unkn…