Global solutions to space-time monopole equations in one space dimension

DOI10.1016/J.JMAA.2015.06.043zbMath1331.35220OpenAlexW816101753MaRDI QIDQ495163

Hyungjin Huh, Jihyun Yim

Publication date: 9 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.06.043

zbMATH Keywords

null structure

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) PDEs in connection with quantum mechanics (35Q40) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

The Cauchy problem for space-time monopole equations in Sobolev spaces ⋮ Local and global solutions to the \(O(3)\)-sigma model with the Maxwell and the Chern-Simons gauges in \(\mathbb{R}^{1 + 1} \) ⋮ 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
• Global strong solution to the Thirring model in critical space
• Local wellposedness for the \(2+1\)-dimensional monopole equation
• Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension
• The Cauchy problem of the Ward equation
• Global strong solutions to some nonlinear Dirac equations in super-critical space
• Twistors in 2+1 dimensions
• The Cauchy problem of the Ward equation with mixed scattering data
• Global wellposedness for a one-dimensional Chern–Simons–Dirac system inL^p

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