Higher order NLS with anisotropic dispersion and modulation spaces: a global existence and scattering result

Abstract

In this paper we transfer a small data global existence and scattering result by Wang and Hudzik to the more general case of modulation spaces $M_{p,q}^s({\mathbb{R}}^d)$ where $q=1$ and $s\ge 0$ or $q\in (1,\infty ]$ and $s>\frac{d}{q^{\prime }}$ and to the nonlinear Schrödinger equation with higher order anisotropic dispersion.

9 pages

References in corpus (1)

• The global Cauchy problem for the NLS with higher order anisotropic dispersion