3 papers
math.AP2021
A remark on uniform Strichartz estimate for quantum walks on 1D lattice
Takumi Aso, Masaya Maeda
In this short note, we study quantum walks (QWs) on one dimensional lattice . Following Hong-Yang, we prove Strichartz estimates for QWs independent of the lattice wid…
math.AP2021
Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice
Masaya Maeda, Masafumi Yoneda
In this paper we give a simple and short proof of asymptotic stability of soliton for discrete nonlinear Schrödinger equation near anti-continuous limit. Our novel insight is that…
math.AP2014
On weak interaction between a ground state and a trapping potential
Scipio Cuccagna, Masaya Maeda
We study the interaction of a ground state with a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because…