11 citations · 11 across the 6 of their papers we have counts for
12 papers
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}…
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…
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…