Local and global solutions to the \(O(3)\)-sigma model with the Maxwell and the Chern-Simons gauges in \(\mathbb{R}^{1 + 1} \)

DOI10.1016/J.JMAA.2020.124715zbMath1472.35317OpenAlexW3094600470MaRDI QIDQ1995791

Bora Moon, Guanghui Jin

Publication date: 25 February 2021

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.2020.124715

zbMATH Keywords

global energy solutionlow regularity well-posednessMaxwell-Chern-Simons gauge \(O(3)\)-sigma modelself-dual gauge model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Topological multi-vortex solutions of the Maxwell-Chern-Simons-Higgs model with a background metric ⋮ Remarks on the growth of the Sobolev norms for the Maxwell-Chern-Simons gauged model in \(\mathbb{R}^{1+1}\)

Cites Work

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• BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS
• The global existence in the Cauchy problem of the Maxwell–Chern–Simons–Higgs system
• The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory

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