Initial behavior of solutions to the Yang-Mills heat equation

DOI10.1016/j.jmaa.2017.02.027OpenAlexW2962689661MaRDI QIDQ2408604

Leonard Gross, Nelia Charalambous

Publication date: 12 October 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05607

zbMATH Keywords

heat equationgauge groupsweakly parabolicYang-MillsGaffney-Friedrichs inequalityinfinite covariant differentiability

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (5)

The Yang-Mills heat flow with random distributional initial data ⋮ A state space for 3D Euclidean Yang-Mills theories ⋮ Equivalence of helicity and Euclidean self-duality for gauge fields ⋮ A functional integral approaches to the Makeenko-Migdal equations ⋮ The Yang-Mills heat equation with finite action in three dimensions

Cites Work

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• Regularity theory for the generalized Neumann problem for Yang-Mills connections -- non-trivial examples in dimensions 3 and 4
• Elliptic partial differential equations of second order
• The Yang-Mills heat semigroup on three-manifolds with boundary
• R-torsion and the Laplacian on Riemannian manifolds
• The Neumann’s problem for differential forms on Riemannian manifolds
• Dirichlet and neumann boundary value problems for Yang-Mills connections
• The generalized neumann problem for yang-mills connections
• The Yang-Mills heat equation with finite action in three dimensions
• Neumann domination for the Yang-Mills heat equation
• Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order

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