A Kirchoff-Sobolev parametrix for the wave equation and applications

Research paper by S. Klainerman, I. Rodnianski

Indexed on: 28 Feb '06Published on: 28 Feb '06Published in: Mathematics - Analysis of PDEs


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.