Global existence in the critical space for the space-time monopole equations

DOI10.1007/S44198-024-00241-WMaRDI QIDQ6632352

Jihyun Yim, Hyungjin Huh

Publication date: 4 November 2024

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

global solutioncritical space \(L^1\)spacetime monopole equations

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Effective quantum field theories (81T12)

Cites Work

• Title not available (Why is that?)
• Local well-posedness for the space-time monopole equation in Lorenz gauge
• Global solutions to space-time monopole equations in one space dimension
• Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field
• 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
• Twistors in 2+1 dimensions
• The Cauchy problem for space-time monopole equations in Sobolev spaces
• Almost critical local well-posedness for the space-time monopole equation in Lorenz gauge

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