Local well-posedness for the Maxwell-Schrödinger equation

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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.
36 pages

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Analysis of PDEs, 35Q40, 35Q55, 35L70

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http://salesiana.dossiersoluciones.com/handle/123456789/67314

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304486
 http://arxiv.org/abs/math/0304486

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arXiv