Mathematische Annalen

, Volume 332, Issue 3, pp 565–604 | Cite as

Local well-posedness for the Maxwell-Schrödinger equation

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Abstract

Time local well-posedness for the Maxwell-Schrödinger equation in the Coulomb gauge is studied in Sobolev spaces by the contraction mapping principle. The Lorentz gauge and the temporal gauge cases are also treated by the gauge transform.

Mathematics Subject Classification (2000)

35Q40 35Q55 35L70 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Graduate School of Information SciencesTohoku UniversitySendaiJapan
  2. 2.Department of MathematicsOsaka UniversityOsakaJapan
  3. 3.Department of Mathematics, Faculty of EngineeringKumamoto UniversityKumamotoJapan

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