Global well-posedness for the Maxwell-Klein Gordon equation in 4+1 dimensions. Small energy
Analysis of PDEs
2015-11-03 v1
Abstract
We prove that the critical Maxwell-Klein Gordon equation on R4+1 is globally well-posed for smooth initial data which are small in the energy. This reduces the problem of global regularity for large, smooth initial data to precluding concentration of energy.
Keywords
Cite
@article{arxiv.1211.3527,
title = {Global well-posedness for the Maxwell-Klein Gordon equation in 4+1 dimensions. Small energy},
author = {Joachim Krieger and Jacob Sterbenz and Daniel Tataru},
journal= {arXiv preprint arXiv:1211.3527},
year = {2015}
}