2 papers
math.AP2024
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…
math.AP2023
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…