21 citations · 93 across the 32 of their papers we have counts for
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math.AP2019
Stabilization of small solutions of discrete NLS with potential having two eigenvalues
Masaya Maeda
We study the long time behavior of small (in ) solutions of discrete nonlinear Schrödinger equations with potential. In particular, we are interested in the case that the corr…
math.AP2019★ 1 cited
On stability of small solitons of the 1--D NLS with a trapping delta potential
Scipio Cuccagna, Masaya Maeda
We consider a Nonlinear Schrödinger Equation with a very general non linear term and with a trapping potential on the line. We then discuss the asymptotic behavior of all its s…
math-ph2019★ 17 cited
Continuous limits of linear and nonlinear quantum walks
Masaya Maeda, Akito Suzuki
In this paper, we consider the continuous limit of a nonlinear quantum walk (NLQW) that incorporates a linear quantum walk as a special case. In particular, we rigorously prove tha…