Null structure and local well-posedness in the energy class for the Yang-Mills equations in Lorenz gauge

DOI10.4171/JEMS/627zbMath1353.35245arXiv1309.1977OpenAlexW1634274181MaRDI QIDQ738795

Sigmund Selberg, Achenef Tesfahun

Publication date: 16 August 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1977

zbMATH Keywords

well-posednessYang-Mills equationnull structureLorenz gauge

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40)

Related Items (15)

Local well-posedness of the coupled Yang-Mills and Dirac system in temporal gauge ⋮ Infinite energy solutions for the \((3+1)\)-dimensional Yang-Mills equation in Lorenz gauge ⋮ Local well-posedness for the Maxwell-Dirac system in temporal gauge ⋮ Stable blowup for the supercritical hyperbolic Yang-Mills equations ⋮ Local well-posedness of the Einstein-Yang-Mills system in constant mean extrinsic curvature spatial harmonic generalized Coulomb gauge ⋮ A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory ⋮ Local well-posedness of non-abelian Chern-Simons-Higgs system in the Lorenz gauge ⋮ On the global dynamics of Yang-Mills-Higgs equations ⋮ The threshold theorem for the $(4+1)$-dimensional Yang–Mills equation: An overview of the proof ⋮ Low Regularity Well-Posedness for the Yang--Mills System in Fourier--Lebesgue Spaces ⋮ Local well-posedness of Yang-Mills equations in Lorenz gauge below the energy norm ⋮ Local well-posedness for the \((n + 1)\)-dimensional Yang-Mills and Yang-Mills-Higgs system in temporal gauge ⋮ Equivalence of helicity and Euclidean self-duality for gauge fields ⋮ Low regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge ⋮ Local well-posedness of the coupled Yang–Mills and Dirac system for low regularity data

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