The hyperbolic Yang-Mills equation for connections in an arbitrary topological class

DOI10.1007/s00220-018-3205-xzbMath1412.58007arXiv1709.08604OpenAlexW3100376722WikidataQ129501736 ScholiaQ129501736MaRDI QIDQ1720195

Daniel Tataru, Sung-Jin Oh

Publication date: 12 February 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08604

zbMATH Keywords

local well-posedness\((4 + 1)\)-dimensional Minkowski space-timehyperbolic Yang-Mills equation

Mathematics Subject Classification ID

Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (8)

The Feynman problem for the Klein-Gordon equation ⋮ Stable blowup for the supercritical hyperbolic Yang-Mills equations ⋮ Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution ⋮ A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory ⋮ The hyperbolic Yang-Mills equation in the caloric gauge: local well-posedness and control of energy-dispersed solutions ⋮ The threshold conjecture for the energy critical hyperbolic Yang-Mills equation ⋮ Space Cauchy problem with curvature \(L^2\) in general relativity ⋮ Global, non-scattering solutions to the energy critical Yang–Mills problem

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