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A Kirchoff-Sobolev parametrix for the wave equation and applications

S. Klainerman·I. Rodnianski
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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.

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S. Klainerman, I. Rodnianski. 2006-03-01. A Kirchoff-Sobolev parametrix for the wave equation and applications. https://arxiv.org/abs/math/0603009

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