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Long-time behaviour of the Yang-Mills flow in four dimensions

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Publication:1357874
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DOI10.1023/A:1006541305639zbMath0884.58090MaRDI QIDQ1357874

Andreas E. Schlatter

Publication date: 16 April 1998

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)



Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for linear higher-order PDEs (35G10) Connections (general theory) (53C05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Higher-order parabolic equations (35K25)


Related Items (10)

Geometric evolution equations in critical dimensions ⋮ Instantons and singularities in the Yang-Mills flow ⋮ A conformally invariant gap theorem in Yang-Mills theory ⋮ The energy identity for a sequence of Yang-Mills \(\alpha \)-connections ⋮ Higher order Yang-Mills flow ⋮ Uhlenbeck compactness for Yang-Mills flow in higher dimensions ⋮ The Yang-Mills flow for cylindrical end 4-manifolds ⋮ The threshold theorem for the $(4+1)$-dimensional Yang–Mills equation: An overview of the proof ⋮ Heat flow of Yang-Mills-Higgs functionals in dimension two ⋮ The gradient flow for gauged harmonic map in dimension two. II




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