We study the theory of scattering for the Maxwell–Schrödinger system in the Coulomb gauge in space dimension 3. We prove in particular the existence of modiﬁed wave operators for that system with no size restriction on the magnetic ﬁeld data in the framework of a direct method which requires smallness of the Schrödinger data, and we determine the asymptotic behaviour in time of solutions in the range of the wave operators.
Cite this article
Jean Ginibre, Giorgio Velo, Long Range Scattering for the Maxwell–Schrödinger System with Large Magnetic Field Data and Small Schrödinger Data. Publ. Res. Inst. Math. Sci. 42 (2006), no. 2, pp. 421–459DOI 10.2977/PRIMS/1166642110