2 citations · 4 across the 4 of their papers we have counts for
4 papers
Small and large data scattering for the dispersion-managed NLS
Jumpei Kawakami, Jason Murphy
We prove several scattering results for dispersion-managed nonlinear Schrödinger equations. In particular, we establish small-data scattering for both `intercritical' and `mass-sub…
Scattering and blow up for nonlinear Schrödinger equation with the averaged nonlinearity
Jumpei Kawakami
We consider the 3-dimensional nonlinear Schrödinger equation (NLS) with average nonlinearity. This is a limiting model of NLS with strong magnetic confinement and a generalized mod…
Global approximation for the cubic NLS with strong magnetic confinement
Jumpei Kawakami
We consider nonlinear Schrödinger equation with strong magnetic fields in 3D. This model was derived by R L. Frank, F. Méhats, C. Sparber in 2017. We prove modified scattering for…
Averaging of strong magnetic nonlinear Schrödinger equations in the energy space
Jumpei Kawakami
In this study, we consider two nonlinear Schrödinger-type models that are derived by R L. Frank, F. Méhats, C. Sparber [arXiv:1611.01574] to study 3D nonlinear Schrödinger equation…