2015•arXiv (Cornell University)Open access

Unconditional global well-posedness in energy space for the Maxwell-Klein-Gordon system in temporal gauge

Hartmut Pecher

Abstract

The Maxwell-Klein-Gordon system in temporal gauge is unconditionally globally well-posed in energy space, especially uniqueness holds in the natural solution space. This improves earlier results where uniqueness was only shown in a suitable subspace. It is also locally well-posed for large data below energy space.

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Key concepts: Uniqueness, Subspace topology, Mathematics, Gauge (firearms), Space (punctuation), Energy (signal processing), Maxwell's equations, Klein–Gordon equation