13 citations · 77 across the 21 of their papers we have counts for
21 papers
On Schrödinger equation with square and inverse-square potentials
Atsuhide Ishida, Masaki Kawamoto
In this paper, we study the linear and nonlinear Schrödinger equations with a time-decaying harmonic oscillator and inverse-square potential. This model retains a form of scale inv…
Modified scattering for nonlinear Schrödinger equations with long-range potentials
Masaki Kawamoto, Haruya Mizutani
We study the final state problem for the nonlinear Schrödinger equation with a critical long-range nonlinearity and a long-range linear potential. Given a prescribed asymptotic pro…
Nonexistence of wave operators via strong propagation estimates for Schrödinger operators with sub-quadratic repulsive potentials
Atsuhide Ishida, Masaki Kawamoto
Sub-quadratic repulsive potentials accelerate quantum particles and can relax the decay rate in the of the external potentials that guarantee the existence of the quantum w…
Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials
Masaki Kawamoto, Hayato Miyazaki
This paper is concerned with the final state problem for the homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potential. The nonlinearity has the critica…
Asymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time dependent harmonic potentials
Masaki Kawamoto, Takuya Sato
We consider the Cauchy problem of a dissipative nonlinear Schrödinger equation with a time dependent harmonic potential. We find a critical situation that the -norm of dissipa…
Asymptotic completeness of wave operators for Schrödinger operators with time-periodic magnetic fields
Masaki Kawamoto
Under the effect of suitable time-periodic magnetic fields, the velocity of a charged particle grows exponentially in ; this phenomenon provides the asymptotic completeness for…
-stableness for solution to linearized KdV equation
Masaki Kawamoto, Hisashi Morioka
The linearized Korteweg-De Vries equation can be written as a Hamilton-like system. However, the Hamilton energy depends on the time, and is a nonsymmetric operator on $L^2({\bf R}…
Final state problem for nonlinear Schrödinger equations with time-decaying harmonic oscillators
Masaki Kawamoto
We consider the final-state problem for the nonlinear Schrödinger equations (NLS) with a suitable time-decaying harmonic oscillator. In this equation, the power of nonlinearity $|u…
Asymptotic behavior for nonlinear Schrödinger equations with critical time-decaying harmonic potential
Masaki Kawamoto
Time-decaying harmonic oscillators yield dispersive estimates with weak decay, and change the threshold power of the nonlinearity between the short and the long range. In the non-c…
Critical scattering in a time-dependent harmonic oscillator
Atsuhide Ishida, Masaki Kawamoto
Controlled time-decaying harmonic oscillator changes the threshold of decay order of the potential functions in order to exist the physical wave operators. This threshold was first…
Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields
Mouez Dimassi, Masaki Kawamoto, Vesselin Petkov
In the presence of the homogeneous electric field and the homogeneous perpendicular magnetic field , the classical trajectory of a quantum particle on ${\mathbb…
Singularity for Solutions of Linearized KdV Equations
Keiichi Kato, Masaki Kawamoto, Koichiro Nanbu
We investigate the time propagation of singularity of a solution to linearized KdV equation by using the characterization of wave front sets with using to the wave packet transform…
Energy Stableness for Schrödinger Operators with Time-Dependent Potentials
Masaki Kawamoto
In this paper, we prove the energy stable property for time-dependent (generalized) Schrödinger operators by using Hardy inequality. Such property acts very important roles in quan…
Asymptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic potentials
Masaki Kawamoto, Ryo Muramatsu
In this study, we examine the asymptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic oscillators and prove the time-decay property of solu…
High-Energy Smoothing Estimates for Selfadjoint Operators
Masaki Kawamoto
We prove the limiting absorption principle on the non-compact interval , on which the uniformly positive Mourre estimate holds. We reveal that such a result yields so-called smo…
Existence and nonexistence of wave operators for time-decaying harmonic oscillators
Atsuhide Ishida, Masaki Kawamoto
Controlled time-decaying harmonic potentials decelerate the velocity of the charged particle but the particle never be trapped by this harmonic potentials. This physical phenomena…
Strichartz estimates for Schrödinger operators with square potential with time-dependent coefficients
Masaki Kawamoto
Strichartz estimates for a time-decaying harmonic oscillator were proven with some assumptions of coefficients for the time-decaying harmonic potentials. The main results of this p…
Strichartz estimates for quadratic repulsive potentials
Masaki Kawamoto, Taisuke Yoneyama
Quadratic repulsive potentials accelerate the quantum particle, increasing the velocity of the particle exponentially in ; this phenomenon yields fast decaying di…
Mourre Theory For Time-Periodic Magnetic Fields
Masaki Kawamoto
We study the Mourre theory for the Floquet Hamiltonian generated by the time-periodic Hamiltonian with , which describes the S…
Klein-Gordon equations with homogeneous time-dependent electric fields
Masaki Kawamoto
We consider a system associated to Klein-Gordon equations with homogeneous time-dependent electric fields. The upper and lower boundaries of a time-evolution propagator for this sy…
Quantum scattering with time-decaying harmonic oscillators
Masaki Kawamoto
By controlling coefficients and decaying order of time-decaying harmonic potentials, the velocity of a quantum particle is decelerated by the effect of harmonic potentials but the…