The global non-blow-up of the Yang-Mills curvature on curved space-times (Q2831996)
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scientific article; zbMATH DE number 6647884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The global non-blow-up of the Yang-Mills curvature on curved space-times |
scientific article; zbMATH DE number 6647884 |
Statements
4 November 2016
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Yang-Mills equations
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curved space-time
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non-blow-up
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parametrix
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energy estimate
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The global non-blow-up of the Yang-Mills curvature on curved space-times (English)
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The authors investigate non-blowup of Yang-Mills curvature on arbitrary curved space-times. The result uses the Klainerman-Rodnianski parametrix for the wave equation and appropriate Grönwall estimates in order to give a new gauge independent proof of \textit{D. M. Eardley} and \textit{V. Moncrief} [Commun. Math. Phys. 83, 193--212 (1982; Zbl 0496.35062)] for the Minkowski setting. This gauge independent proof assumes \((M,\mathbf g)\) is a curved \(4\)-dimensional Lorentzian manifold, \(\mathbf g\) is sufficiently smooth, and \(M\) is globally hyperbolic.
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