Almost critical local well-posedness for the space-time monopole equation in Lorenz gauge

DOI10.1142/S0219199714500436zbMath1314.35117arXiv1308.4285OpenAlexW2046650874MaRDI QIDQ4983016

Achenef Tesfahun

Publication date: 14 April 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4285

zbMATH Keywords

monopole equationalmost critical local well-posedness

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 (3)

The Cauchy problem for space-time monopole equations in Sobolev spaces ⋮ The Cauchy problem for space-time monopole equations in temporal and spatial gauge ⋮ Large time behavior of solutions to space-time monopole equations in 1 + 1 dimensions

Cites Work

• Unnamed Item
• Local well-posedness for the space-time monopole equation in Lorenz gauge
• Local wellposedness for the \(2+1\)-dimensional monopole equation
• Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system
• LOCAL WELL-POSEDNESS BELOW THE CHARGE NORM FOR THE DIRAC–KLEIN–GORDON SYSTEM IN TWO SPACE DIMENSIONS
• Twistors in 2+1 dimensions

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