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Long range scattering for the Maxwell-Schrödinger system with arbitrarily large asymptotic data. (English) Zbl 1173.35645
Summary: We review the proof of existence and uniqueness of solutions of the Maxwell-Schrödinger system in a neighborhood of infinity in time, with prescribed asymptotic behaviour defined in terms of asymptotic data, without any restriction on the size of those data. That result is the basic step in the construction of modified wave operators for the Maxwell-Schrödinger system.

MSC:
35Q40 PDEs in connection with quantum mechanics
35P25 Scattering theory for PDEs
35B40 Asymptotic behavior of solutions to PDEs
81U99 Quantum scattering theory
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