54 citations · 83 across the 24 of their papers we have counts for
7 papers · 1 filter
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…
Decay and scattering of solutions to nonlinear Schrödinger equations with regular potentials for nonlinearities of sharp growth
Ze Li, Lifeng Zhao
In this paper, we prove the decay and scattering in the energy space for nonlinear Schrödinger equations with regular potentials in namely, $i{\partial _t}u + Δu - V(x)u…