70 citations · 176 across the 13 of their papers we have counts for
11 papers · 1 filter
Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric
Zhengchao Han, Jingang Xiong, Lei Zhang
We prove that any positive solution of the Yamabe equation on an asymptotically flat -dimensional manifold of flatness order at least and must converge…
Asymptotic behavior for a dissipative nonlinear Schrödinger equation
Thierry Cazenave, Zheng Han, Ivan Naumkin
We consider the Schrödinger equation with nonlinear dissipation \begin{equation*} i \partial _t u +Δu=λ|u|^αu \end{equation*} in , , where $λ\in {\mathbb C}…
Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation
Thierry Cazenave, Zheng Han
We study the time-asymptotic behavior of solutions of the Schrödinger equation with nonlinear dissipation \begin{equation*} \partial _t u = i Δu + λ|u|^αu \end{equation*} in ${\mat…
Blowup on an arbitrary compact set for a Schödinger equation with nonlinear source term
Thierry Cazenave, Zheng Han, Yvan Martel
We consider the nonlinear Schrödinger equation on , , \begin{equation*} \partial _t u = i Δu + λ| u |^αu \quad \mbox{on , ,} \end{equat…
Local well-posedness for the -critical nonlinear Schrödinger equation
Thierry Cazenave, Daoyuan Fang, Zheng Han
In this paper, we consider the nonlinear Schrödinger equation in , , with $λ\in \C$. We prove local well-posedness (local existe…
On the unconditional uniqueness for NLS in
Zheng Han, Daoyuan Fang
In this article, we study the unconditional uniqueness of , , solutions for the nonlinear Schrödinger equation in .…