Haiyan Xu

most citedLarge time blow up for a perturbation of the cubic Szegő equation

19 citations · 23 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2015★ 4 cited

The Cubic Szeg\h{o} Equation with a Linear Perturbation

Haiyan Xu

We consider the following Hamiltonian equation on the $L^{2}$ Hardy space on the circle $S^{1}$ , $i \partial_t u = Π (∣ u ∣^{2} u) + α (u ∣1), α \in R,$ where $Π$ is the Szegő p…

math.AP2015

Unbounded Sobolev trajectories and modified scattering theory for a wave guide nonlinear Schrödinger equation

Haiyan Xu

We consider the following wave guide nonlinear Schrödinger equation, \begin{equation} (i\partial \_t+\partial \_{xx}-\vert D\_y\vert )U=\vert U\vert ^2U\ \tag{WS} \end{equation} on…

math.AP2013★ 19 cited

Large time blow up for a perturbation of the cubic Szegő equation

Haiyan Xu

We consider the following Hamiltonian equation on a special manifold of rational functions, \[i\p\_tu=Π(|u|^2u)+\al (u|1),\ \al\in\R,\] where $Π$ denotes the Szegő projector on the…