On uniqueness for half-wave maps in dimension d >= 3

TL;DR

This paper proves the uniqueness of solutions to the half-wave map equation in dimensions three and higher within the natural energy class, extending previous methods by Shatah and Struwe.

Contribution

It introduces a new uniqueness proof for half-wave maps in higher dimensions, building on and extending classical techniques.

Findings

Uniqueness established for solutions in dimension d >= 3

Method extends previous work by Shatah and Struwe

Results apply within the natural energy class

Abstract

Extending an argument by Shatah and Struwe we obtain uniqueness for solutions of the half-wave map equation in dimension $d \geq 3$ in the natural energy class.