arXiv:math/0603009 Abstract

arXiv:math/0603009 [math.AP]Abstract References Reviews Resources

A Kirchoff-Sobolev parametrix for the wave equation and applications

Published 2006-03-01Version 1

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.

Categories: math.AP, math-ph, math.MP

Keywords: wave equation, kirchoff-sobolev parametrix, large data global existence result, applications, first order physical space parametrix

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