4 papers
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, Satoshi Masaki, Hayato Miyazaki
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 gaug…
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 d…
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 t…