On the well-posedness of Maxwell-Chern-Simons-Higgs system in the Lorenz gauge

DOI10.3934/DCDS.2014.34.2389zbMath1277.35238OpenAlexW2318109131MaRDI QIDQ379884

Jian-Jun Yuan

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.2389

zbMATH Keywords

well-posednessMaxwell-Higgs system

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (3)

Local solutions with infinite energy of the Maxwell-Chern-Simons-Higgs system in Lorenz gauge ⋮ Local well-posedness of the Maxwell-Chern-Simons-Higgs system in the temporal gauge ⋮ Global solutions of two coupled Maxwell systems in the temporal gauge

Cites Work

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• Local and global solutions of the Chern-Simons-Higgs system
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
• On the Maxwell-Klein-Gordon equation with finite energy
• Global well-posedness of the Chern-Simons-Higgs equations with finite energy
• Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge
• Local well-posedness of Chern-Simons-Higgs system in the Lorentz gauge
• Finite-Energy Global Well-Posedness of the Maxwell–Klein–Gordon System in Lorenz Gauge
• Nonlinear Schrödinger evolution equations
• The global existence in the Cauchy problem of the Maxwell–Chern–Simons–Higgs system
• Low regularity solutions of the Chern–Simons–Higgs equations

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