21 citations · 93 across the 32 of their papers we have counts for
6 papers · 1 filter
Asymptotic stability of small bound state of nonlinear quantum walks
Masaya Maeda
In this paper, we study the long time behavior of nonlinear quantum walks when the initial data is small in . In particular, we study the case where the linear part of the qua…
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…
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…
Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method
Scipio Cuccagna, Masaya Maeda
In this paper, we give an alternative proof for the asymptotic stability of solitons for nonlinear Schrödinger equations with internal modes. The novel idea is to use "refined prof…
On selection of standing wave at small energy in the 1D Cubic Schrödinger Equation with a trapping potential
Scipio Cuccagna, Masaya Maeda
Combining virial inequalities by Kowalczyk, Martel and Munoz and Kowalczyk, Martel, Munoz and Van Den Bosch with our theory on how to derive nonlinear induced dissipation on discre…
A note on small data soliton selection for nonlinear Schrödinger equations with potential
Scipio Cuccagna, Masaya Maeda
In this note, we give an alternative proof of the theorem on soliton selection for small energy solutions of nonlinear Schrödinger equations (NLS) which we studied in Anal. PDE 8 (…