Zobrazeno 1 - 10
of 153
pro vyhledávání: '"Maeda, Masaya"'
Autor:
Cuccagna, Scipio, Maeda, Masaya
Assuming the nonlinear Fermi Golden Rule (FGR) and no resonance at the threshold of the continuous spectrum of the linearization and assuming furthermore as hypotheses the results proved numerically by Chang et al. \cite{Chang} for the exponent $p\in
Externí odkaz:
http://arxiv.org/abs/2405.11763
Autor:
Cuccagna, Scipio, Maeda, Masaya
We provide a detailed proof that the Nonlinear Fermi Golden Rule coefficient that appears in our recent proof of the asymptotic stability of ground states for the pure power Nonlinear Schr\"odinger equations in $\mathbb{R}$ with exponent $0<|p-3|\ll
Externí odkaz:
http://arxiv.org/abs/2405.01922
Autor:
Cuccagna, Scipio, Maeda, Masaya
For exponents $p$ satisfying $0<|p-3|\ll 1$ and only in the context of spatially even solutions we prove that the ground states of the nonlinear Schr\"odinger equation (NLS) with pure power nonlinearity of exponent $p$ in the line are asymptotically
Externí odkaz:
http://arxiv.org/abs/2404.14287
We extend the result M. Kowalczyk, Y. Martel, C. Mu\~noz, JEMS 2022, on the existence, in the context of spatially even solutions, of asymptotic stability on a center hypersurface at the soliton of the defocusing power Nonlinear Klein Gordon Equation
Externí odkaz:
http://arxiv.org/abs/2307.16527
Autor:
Maeda, Masaya, Yamazaki, Yohei
We study the dynamics of solutions of nonlinear Schr\"odinger equation near unstable ground states. The existence of the local center stable manifold around ground states and the asymptotic stability for the solutions on the manifold is proved. The n
Externí odkaz:
http://arxiv.org/abs/2206.08156
We give a partial extension to dimension 1 of the result proved by Bambusi and Cuccagna on the absence of small energy real valued periodic solutions for the NLKG in dimension 3. We combine the framework in Kowalczyk and Martel with the notion of "re
Externí odkaz:
http://arxiv.org/abs/2206.08012
Autor:
Cuccagna, Scipio, Maeda, Masaya
We give a sufficient condition, in the spirit of Kowalczyk-Martel-Munoz-Van Den Bosch \cite{KMMvdB21AnnPDE}, for the local asymptotic stability of kinks under odd perturbations. In particular, we allow the existence of quite general configuration of
Externí odkaz:
http://arxiv.org/abs/2203.13468
Autor:
Maeda, Masaya
In this paper, we study the long time behavior of nonlinear quantum walks when the initial data is small in $l^2$. In particular, we study the case where the linear part of the quantum walk evolution operator has exactly two eigenvalues and show that
Externí odkaz:
http://arxiv.org/abs/2112.01004
Autor:
Aso, Takumi, Maeda, Masaya
In this short note, we study quantum walks (QWs) on one dimensional lattice $\delta \mathbb{Z}$. Following Hong-Yang, we prove Strichartz estimates for QWs independent of the lattice width $\delta$.
Comment: 6 pages, to appear in Yokohama Mathem
Comment: 6 pages, to appear in Yokohama Mathem
Externí odkaz:
http://arxiv.org/abs/2112.01000
Autor:
Maeda, Masaya, Yoneda, Masafumi
In this paper we give a simple and short proof of asymptotic stability of soliton for discrete nonlinear Schr\"odinger equation near anti-continuous limit. Our novel insight is that the analysis of linearized operator, usually non-symmetric, can be r
Externí odkaz:
http://arxiv.org/abs/2112.00998