A Generalized Representation Formula for Systems of Tensor Wave Equations
Analysis of PDEs
2016-09-14 v1
Abstract
In this paper, we generalize the Kirchhoff-Sobolev parametrix of Klainerman and Rodnianski to systems of tensor wave equations with additional first-order terms. We also present a different derivation, which better highlights that such representation formulas are supported entirely on past null cones. This generalization is a key component for extending Klainerman and Rodnianski's breakdown criterion result for Einstein-vacuum spacetimes to Einstein-Maxwell and Einstein-Yang-Mills spacetimes.
Cite
@article{arxiv.1005.4509,
title = {A Generalized Representation Formula for Systems of Tensor Wave Equations},
author = {Arick Shao},
journal= {arXiv preprint arXiv:1005.4509},
year = {2016}
}
Comments
29 pages