2 citations · 2 across the 5 of their papers we have counts for
6 papers
Threshold for the existence of scattering states for inhomogeneous nonlinear Schrödinger equations without gauge invariance
Mourad Grira, Hayato Miyazaki, Slim Tayachi
We consider the asymptotic behavior of solutions to inhomogeneous nonlinear Schrödinger equations with non-gauge-invariant nonlinearities. The spatial coefficient in the nonlinear…
Correction to the article "Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance"
Masaki Kawamoto, Masaki kawamoto, Satoshi Masaki +1
This article resolves some errors in the paper ``Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge…
Remarks on the derivation of the virial identity for nonlinear Schrödinger equations
Tomoyuki Ikeda, Shuji Machihara, Hayato Miyazaki +1
We revisit the derivation of the virial identity for nonlinear Schrödinger equations. In \cite{O06, FM17}, several conservation laws, such as for the charge and the energy, were de…
Threshold for the existence of scattering states for nonlinear Schrödinger equations without gauge invariance
Hayato Miyazaki, Motohiro Sobajima
This paper is concerned with a threshold phenomenon for the existence of scattering states for nonlinear Schrödinger equations. The nonlinearity includes a non-oscillatory term of…
Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance
Masaki Kawamoto, Satoshi Masaki, Hayato Miyazaki
In this paper, we consider the nonlinear Schrödinger equation (NLS) with a general homogeneous nonlinearity in dimensions up to three. We assume that the degree (i.e., power) of th…
Modified scattering operator for nonlinear Schrödinger equations with time-decaying harmonic potentials
Masaki Kawamoto, Hayato Miyazaki
This paper is concerned with nonlinear Schrödinger equations with a time-decaying harmonic potential. The nonlinearity is gauge-invariant of the long-range critical order. In [24]…