Scattering for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space

2021/10/13 by Dodson, Benjamin · 1 citation
#35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2110.06987

Abstract

In this note we prove scattering for a defocusing nonlinear Schrödinger equation with initial data lying in a critical Besov space. In addition, we obtain polynomial bounds on the scattering size as a function of the critical Besov norm.

Cited by

• A Decay estimate for cubic defocusing non-linear Schrödinger equation in three dimensions

Related

• Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity
• Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space
• Global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space
• On scattering for the defocusing nonlinear Schrödinger equation on waveguide ℝ^m × \mathbbT (when m=2,3)
• Scattering for the cubic Schrödinger equation in 3D with randomized radial initial data