Global Regularity and Scattering for General Non-Linear Wave Equations II. (4+1) Dimensional Yang--Mills Equations in the Lorentz Gauge
Analysis of PDEs
2007-05-23 v1
Abstract
We continue here with previous investigations on the global behavior of general type non-linear wave equations for a class of small, scale-invariant initial data. The method is based on the use of a new set of Strichartz estimates for the linear wave equation which incorporates extra weighted smoothness assumptions with respect to the angular variable, along with the construction of appropriate micro-local function spaces which take into account this type of additional regularity.
Keywords
Cite
@article{arxiv.math/0402191,
title = {Global Regularity and Scattering for General Non-Linear Wave Equations II. (4+1) Dimensional Yang--Mills Equations in the Lorentz Gauge},
author = {Jacob Sterbenz},
journal= {arXiv preprint arXiv:math/0402191},
year = {2007}
}
Comments
50 pages, 1 figure