Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential. (8th February 2018) - Masaki, Satoshi
Abstract: We consider the initial-value problem for the one-dimensional cubic nonlinear Schrödinger equation with a repulsive delta potential. We prove that small initial data in a weighted Sobolev space lead to global solutions that decay in $L^{\infty }$ and exhibit modified scattering.