Energy dispersed solutions for the (4 + 1)-dimensional Maxwell-Klein-Gordon equation

DOI10.1353/ajm.2018.0000zbMath1392.35309arXiv1503.01561OpenAlexW1701506190MaRDI QIDQ5374317

Sung-Jin Oh, Daniel Tataru

Publication date: 10 April 2018

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01561

zbMATH Keywords

gauge theoryMaxwell-Klein-Gordon systemarbitrarily large energy

Mathematics Subject Classification ID

PDEs in connection with relativity and gravitational theory (35Q75) Einstein-Maxwell equations (83C22)

Related Items (8)

Local well-posedness of the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation at energy regularity ⋮ The hyperbolic Yang-Mills equation in the caloric gauge: local well-posedness and control of energy-dispersed solutions ⋮ Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model ⋮ Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation ⋮ Global Well-Posedness of High Dimensional Maxwell–Dirac for Small Critical Data ⋮ The threshold theorem for the $(4+1)$-dimensional Yang–Mills equation: An overview of the proof ⋮ The threshold conjecture for the energy critical hyperbolic Yang-Mills equation ⋮ Global well-posedness for the massive Maxwell-Klein-Gordon equation with small critical Sobolev data

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