Local well-posedness for the Maxwell-Schr\"odinger equation
Analysis of PDEs
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/0304486,
title = {Local well-posedness for the Maxwell-Schr\"odinger equation},
author = {Makoto Nakamura and Takeshi Wada},
journal= {arXiv preprint arXiv:math/0304486},
year = {2007}
}
Comments
36 pages