126 citations · 755 across the 30 of their papers we have counts for
4 papers · 2 filters
Global center stable manifold for the defocusing energy critical wave equation with potential
Hao Jia, Baoping Liu, Wilhelm Schlag +1
In this paper we consider the defocusing energy critical wave equation with a trapping potential in dimension . We prove that the set of initial data for which solutions scatter…
Solitary waves for nonlinear Schrödinger equation with derivative
Changxing Miao, Xingdong Tang, Guixiang Xu
In this paper, we characterize a family of solitary waves for NLS with derivative (DNLS) by the structue analysis and the variational argument. Since (DNLS) doesn't enjoy the Galil…
Stability of the sum of two solitary waves for (gDNLS) in the energy space
Xingdong Tang, Guixiang Xu
In this paper, we continue the study in \cite{MiaoTX:DNLS:Stab}. We use the perturbation argument, modulational analysis and the energy argument in \cite{MartelMT:Stab:gKdV, Martel…
Stability of the traveling waves for the derivative Schrödinger equation in the energy space
Changxing Miao, Xingdong Tang, Guixiang Xu
In this paper, we continue the study of the dynamics of the traveling waves for nonlinear Schrödinger equation with derivative (DNLS) in the energy space. Under some technical assu…