Global well-posedness for the Maxwell-Klein-Gordon equation in 4+1 dimensions: Small energy
- Author(s): Krieger, J;
- Sterbenz, J;
- Tataru, D
- et al.
Published Web Locationhttps://doi.org/10.1215/00127094-2885982
We prove that the critical Maxwell-Klein-Gordon equation on ℝ4+1 is globally wellposed for smooth initial data which are small in the energy norm. This reduces the problem of global regularity for large, smooth initial data to precluding concentration of energy.