54 citations · 83 across the 24 of their papers we have counts for
25 papers
Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus
Ze Li
The main results of this paper are threefold. First, we prove an observability inequality for the Airy equation on the real line from Hausdorff-thick sets in a time-trace sense for…
An abstract uncertainty principle with applications
Tianxiao Huang, Ze Li, Jiani Liu
Under Wigdersons' framework and by sorting out the technical points in the recent works of Tang (J. Fourier Anal. Appl. 31 (2025)) and Dias-Luef-Prata (J. Math. Pures Appl. (9) 198…
Mean field analysis of interacting network model with jumps
Zeqian Li
This paper considers an -particle jump-diffusion system with mean filed interaction, where the coefficients are locally Lipschitz continuous. We address the convergence as $n\to…
Dynamics for the corotational energy-critical wave map equation with quantized blow-up rates
Ze Li, Yezhou Yi, Lifeng Zhao
We consider the wave maps from into Under an additional assumption of -corotational symmetry, the problem reduces to the o…
On holographic time-like entanglement entropy
Ze Li, Zi-Qing Xiao, Run-Qiu Yang
In order to study the pseudo entropy of time-like subregions holographically, the previous smooth space-like extremal surface was recently generalized to mix space-like and time-li…
Global regularity of Skew mean curvature flow for small data in dimensions
Jiaxi Huang, Ze Li, Daniel Tataru
The skew mean curvature flow is an evolution equation for a dimensional manifold immersed into , and which moves along the binormal direction with a speed pro…
Upper bounds of holographic entanglement entropy growth rate for thermofield double states
Ze Li, Run-Qiu Yang
We studied the upper bounds of the holographic entanglement entropy growth rate for thermofield double (TFD) states. By comparing the cases of vacuum AdS and charged AdS black hole…
On long time dynamics of 1D Schrödinger map flows
Ze Li
In this paper, we study the long time dynamics of small solutions to Schrödinger map flows from to Riemannian surfaces. The results are threefold. (i) We prove that for ge…
Global and local theory of skew mean curvature flows
Ze Li
In this paper, we study the skew mean curvature flow. The results are threefold. First, we prove the global regularity of solutions with initial data which are small perturbations…
On global dynamics of Schrödinger map flows on hyperbolic planes near harmonic maps
Ze Li
The results of this paper are twofold: In the first part, we prove that for Schrödinger map flows from hyperbolic planes to Riemannian surfaces with non-positive sectional curvatur…
Global transversal stability of Euclidean planes under skew mean curvature flow evolutions
Ze Li
In this paper, we prove that 2 dimensional transversal small perturbations of d-dimensional Euclidean planes under the skew mean curvature flow lead to global solutions which conve…
Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: High dimensions
Ze Li
In this paper, we prove that the Schrödinger map flows from with to compact Kähler manifolds with small initial data in critical Sobolev spaces are global. This…
Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: Energy critical case
Ze Li
In this paper and the companion work \cite{LIZE2}, we prove that the Schrödinger map flows from with to compact Kähler manifolds with small initial data in crit…
Endpoint Strichartz estimates for magnetic wave equations on two dimensional hyperbolic spaces
Ze Li
In this paper, we prove that Kato smoothing effects for magnetic Schrödinger operators can yield the endpoint Strichartz estimates for linear wave equation with magnetic potential…
Asymptotic stability of large energy harmonic maps under the wave map from 2D hyperbolic spaces to 2D hyperbolic spaces
Ze Li
In this paper, we prove that the large energy harmonic maps from to are asymptotically stable under the wave map equation.
Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case
Ze Li, Xiao Ma, Lifeng Zhao
In this paper, we prove that the small energy harmonic maps from to are asymptotically stable under the wave map equation in the subcritical perturbation clas…
Convergence to harmonic maps for the Landau-Lifshitz flows on two dimensional hyperbolic spaces
Ze Li, Lifeng Zhao
In this paper, we prove that the solution of the Landau-Lifshitz flow from to converges to some harmonic map as . The essential o…
Asymptotic behaviors of Landau-Lifshitz flows from to Kähler manifolds
Ze Li, Lifeng Zhao
In this paper, we study the asymptotic behaviors of finite energy solutions to the Landau-Lifshitz flows from into Kähler manifolds. First, we prove that the solution wi…
Asymptotic decomposition for nonlinear damped Klein-Gordon equations
Ze Li, Lifeng Zhao
In this paper, we proved that if the solution to damped focusing Klein-Gordon equations is global forward in time, then it will decouple into a finite number of equilibrium points…
Long time behaviors for 3D cubic damped Klein-Gordon equations in inhomogeneous mediums
Ze Li, Lifeng Zhao
In this paper, we study the asymptotic dynamics of global solutions to damped Klein-Gordon equations in inhomogeneous mediums (KGI). In the defocusing case, we prove for any initia…
Scattering of solutions to nonlinear Schrödinger equations with regular potentials
Xing Cheng, Ze Li, Lifeng Zhao
In this paper, we prove the scattering for radial solutions to energy-critical nonlinear Schrödinger equations with regular potentials in defocusing case.
Asymptotic stability of solitons to 1D Nonlinear Schrodinger Equations in subcritical case
Ze Li
In this paper, we prove the asymptotic stability of solitary waves to 1D nonlinear Schrödinger equations in the subcritical case with symmetry and spectrum assumptions. One of the…
Asymptotic Stability of Solitons to Nonlinear Schrodinger Equations on Star Graphs
Ze Li, Lifeng Zhao
In this paper, we prove the asymptotic stability of nonlinear Schrodiger equations on star graphs, which partially solves an open problem in D. Noja \cite{DN}. The essential ingred…
Propagation of moments and uniqueness of weak solutions to the Vlasov-Poisson-Fokker-Planck system
Ze Li, Lifeng Zhao
In this paper, we prove the uniqueness of weak solutions to the Vlasov-Poisson-Fokker-Planck system in , by assuming the solution has a local bounded density which t…