Uniqueness at infinity in time for the Maxwell-Schrödinger system with arbitrarily large asymptotic data

J. Ginibre (1) , G. Velo (2)

1 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]
2 Dipartimento di Fisica

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.

Domaines: Equations aux dérivées partielles [math.AP]

J. Ginibre, G. Velo. Uniqueness at infinity in time for the Maxwell-Schrödinger system with arbitrarily large asymptotic data. Portugaliae Mathematica, 2008, 65 (4), pp.509-534. ⟨hal-00161566⟩