activity
20172026
most citedGlobal Well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds

4 citations · 12 across the 14 of their papers we have counts for

collaborators

22 papers

math.AP2026

Global well-posedness and scattering for the three-dimensional defocusing cubic Schrödinger equation in ,

Qingtang Su, Zehua Zhao

We prove global well-posedness and scattering for the three-dimensional defocusing cubic nonlinear Schrödinger equation with arbitrary initial data in H^s(R^3), . Th…

math.AP2023

On Strichartz estimates for many-body Schrödinger equation in the periodic setting

Xiaoqi Huang, Xueying Yu, Zehua Zhao +1

In this paper, we prove Strichartz estimates for many body Schrödinger equations in the periodic setting, specifically on tori , where . The results hold for…

math.AP2023

On well-posedness results for the cubic-quintic NLS on

Yongming Luo, Xueying Yu, Haitian Yue +1

We consider the periodic cubic-quintic nonlinear Schrödinger equation \begin{align}\label{cqnls_abstract} (i\partial_t +Δ)u=μ_1 |u|^2 u+μ_2 |u|^4 u\tag{CQNLS} \end{align} on the th…

math.AP2023

On Strichartz estimate for many body Schrödinger equation in the waveguide setting

Zehua Zhao

In this short paper, we prove Strichartz estimates for N-body Schrödinger equations in the waveguide manifold setting (i.e. on semiperiodic spaces …

math.AP2022★ 1 cited

On decaying properties of nonlinear Schrödinger equations

Chenjie Fan, Gigliola Staffilani, Zehua Zhao

In this paper we discuss quantitative (pointwise) decay estimates for solutions to the 3D cubic defocusing Nonlinear Schrödinger equation with various initial data, deterministic a…

math.AP2022

On scattering asymptotics for the 2D cubic resonant system

Kailong Yang, Zehua Zhao

In this paper, we prove scattering asymptotics for the 2D (discrete dimension) cubic resonant system. This scattering result was used in Zhao \cite{Z1} as an assumption to obtain t…