Modified wave operators for Maxwell-Schrödinger equations in three space dimensions

DOI10.1007/s00023-003-0143-7zbMath1040.81095OpenAlexW2144534603MaRDI QIDQ1422192

Akihiro Shimomura

Publication date: 5 February 2004

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-003-0143-7

zbMATH Keywords

scattering theoryLorentz gaugeCoulomb gaugeexistence of modified wave operators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) NLS equations (nonlinear Schrödinger equations) (35Q55) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (9)

Global well-posedness for the non-linear Maxwell-Schrödinger system ⋮ Scattering for the Zakharov system in 3 dimensions ⋮ Long range scattering for the Maxwell-Schrödinger system in the Lorenz gauge without any restriction on the size of data ⋮ Time global finite-energy weak solutions to the many-body Maxwell-Pauli equations ⋮ A Crank--Nicolson Finite Element Method and the Optimal Error Estimates for the Modified Time-Dependent Maxwell--Schrödinger Equations ⋮ Global existence and uniqueness of solutions to the Maxwell-Schrödinger equations ⋮ Long range scattering for the modified Schrödinger map in two space dimensions ⋮ Scattering theory for the Schrödinger equation in some external time-dependent magnetic fields ⋮ SCATTERING THEORY FOR ZAKHAROV EQUATIONS IN THREE-DIMENSIONAL SPACE WITH LARGE DATA

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