Uniqueness at infinity in time for the Maxwell-Schr"odinger system with arbitrarily large asymptotic data

TL;DR

This paper proves the uniqueness of solutions to the Maxwell-Schrödinger system with specified asymptotic behavior at infinity in time, under certain growth and accuracy conditions, without size restrictions.

Contribution

It establishes the uniqueness of solutions with prescribed asymptotics for the Maxwell-Schrödinger system, extending previous constructions without size limitations.

Findings

Uniqueness of solutions with given asymptotics at infinity in time.

Applicable to solutions with prescribed asymptotics from previous work.

No restrictions on the size of solutions, only growth and accuracy conditions.

Abstract

We prove the uniqueness of solutions of the Maxwell-Schr"odinger system with given asymptotic behaviour at infinity in time. The assumptions include suitable restrictions on the growth of solutions for large time and on the accuracy of their asymptotics, but no restriction on their size. The result applies to the solutions with prescribed asymptotics constructed in a previous paper.