A Kirchoff-Sobolev parametrix for the wave equation and applications
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We propose a geometric construction of a first order physical space parametrix for solutions to covariant, tensorial wave equations on a curved background. We describe its applications to a large data breakdown criterion in General Relativity and also give a new gauge independent proof of the Eardley-Moncrief result on large data global existence result for the 3+1-dimensional Yang-MIlls equations.
Keywords
Cite
@article{arxiv.math/0603009,
title = {A Kirchoff-Sobolev parametrix for the wave equation and applications},
author = {S. Klainerman and I. Rodnianski},
journal= {arXiv preprint arXiv:math/0603009},
year = {2007}
}