Local well-posedness of Yang-Mills equations in Lorenz gauge below the energy norm

DOI10.1007/s00030-014-0306-xzbMath1325.35182arXiv1408.5363OpenAlexW2077192586MaRDI QIDQ497407

Achenef Tesfahun

Publication date: 24 September 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5363

zbMATH Keywords

well-posednessLorenz gaugeYang-Mills equations

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) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (13)

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 ⋮ 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 ⋮ Low Regularity Well-Posedness for the Yang--Mills System in Fourier--Lebesgue Spaces ⋮ Local well-posedness for the \((n + 1)\)-dimensional Yang-Mills and Yang-Mills-Higgs system in temporal gauge ⋮ Large data decay of Yang–Mills–Higgs fields on Minkowski and de Sitter spacetimes ⋮ Low regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge ⋮ Initial value problems for nonlinear dispersive equations at critical regularity ⋮ Local well-posedness of the coupled Yang–Mills and Dirac system for low regularity data

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