The global non-blow-up of the Yang–Mills curvature on curved space-times

DOI10.1142/S0219891616500156zbMath1355.35156OpenAlexW2964196662MaRDI QIDQ2831996

Sari Ghanem

Publication date: 4 November 2016

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891616500156

zbMATH Keywords

parametrixenergy estimatecurved space-timeYang-Mills equationsnon-blow-up

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) PDEs in connection with relativity and gravitational theory (35Q75) Equations of motion in general relativity and gravitational theory (83C10) Hyperbolic equations and hyperbolic systems (35L99) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

The decay of the \(S U(2)\) Yang-Mills fields on the Schwarzschild black hole for spherically symmetric small energy initial data ⋮ Continuation criterion for solutions to the Einstein equations ⋮ On the global dynamics of Yang-Mills-Higgs equations ⋮ Large data decay of Yang–Mills–Higgs fields on Minkowski and de Sitter spacetimes

Cites Work

• The formation of black holes in general relativity.
• Global existence of solutions of the Yang-Mills equations on globally hyperbolic four dimensional Lorentzian manifolds
• On the breakdown criterion in general relativity
• The Large Scale Structure of Space-Time
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