### Infinite energy solutions for Schrödinger-type equations with a nonlocal term

#### Abstract

We study the Cauchy problem associated with nonlinear Schrödinger-type equations with a nonlocal term in $\mathbb{R}^n$. Existence and uniqueness of local and global solutions are established in spaces which allow singular initial data. Scattering, asymptotic stability, and decay rates are also proved.

#### Article information

Source
Adv. Differential Equations, Volume 18, Number 7/8 (2013), 769-796.

Dates
First available in Project Euclid: 20 May 2013