Unconditional global well-posedness in energy space for the Maxwell-Klein-Gordon system in temporal gauge
Analysis of PDEs
2015-12-07 v4
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.
Keywords
Cite
@article{arxiv.1504.00506,
title = {Unconditional global well-posedness in energy space for the Maxwell-Klein-Gordon system in temporal gauge},
author = {Hartmut Pecher},
journal= {arXiv preprint arXiv:1504.00506},
year = {2015}
}
Comments
Minor changes in the proof of Proposition 2.2. (17 pages)