On the uniqueness of solutions to the Gross-Pitaevskii hierarchy

TL;DR

This paper presents a new proof of the uniqueness of solutions to the Gross-Pitaevskii hierarchy using space-time estimates, providing an alternative approach to previous methods.

Contribution

It introduces a novel proof technique for the uniqueness of solutions in a different functional space, expanding the theoretical understanding of the hierarchy.

Findings

Established uniqueness in a new functional space

Provided an alternative proof method based on space-time estimates

Enhanced theoretical framework for the Gross-Pitaevskii hierarchy

Abstract

We give a new proof of uniqueness of solutions to the Gross-Pitaevskii hierarchy, first established by Erdos, Schlein and Yau, in a different space, based on space-time estimates.