Local well-posedness of Chern-Simons-Higgs system in the Lorentz gauge

DOI10.1063/1.3645365zbMath1272.81216OpenAlexW2092015953MaRDI QIDQ2851754

Jian-Jun Yuan

Publication date: 2 October 2013

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

Full work available at URL: https://doi.org/10.1063/1.3645365

Mathematics Subject Classification ID

Unified quantum theories (81V22) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Eta-invariants, Chern-Simons invariants (58J28) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (5)

On the well-posedness of Maxwell-Chern-Simons-Higgs system in the Lorenz gauge ⋮ Local well-posedness of non-abelian Chern-Simons-Higgs system in the Lorenz gauge ⋮ Nonexistence of global solution to Chern-Simons-Higgs system ⋮ Global energy solutions of Chern-Simons-Higgs equations in one space dimension ⋮ Low regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge

Cites Work

• Local and global solutions of the Chern-Simons-Higgs system
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
• Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system
• Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory
• Finite-Energy Global Well-Posedness of the Maxwell–Klein–Gordon System in Lorenz Gauge
• Local existence with minimal regularity for nonlinear wave equations
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS
• Low regularity solutions of the Chern–Simons–Higgs equations

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