Local well-posedness for the Maxwell-Schrödinger equation

Details Local well-posedness for the Maxwell-Schrödinger equation Local well-posedness for the Maxwell-Schrödinger equation

2003-04-29

arxiv.org/abs/math/0304486v2

Mathematics

Analysis of PDEs

36 pages

Scientific paper

Time local well-posedness for the Maxwell-Schr\"odinger 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.

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