Well-posedness for the dimension-reduced Chern-Simons-Dirac system

DOI10.1007/s00028-016-0371-1zbMath1383.35181OpenAlexW2553900962MaRDI QIDQ1688300

Shuji Machihara, Mamoru Okamoto

Publication date: 5 January 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-016-0371-1

zbMATH Keywords

well-posednessill-posednessChern-Simons-Dirac systemdimension-reduced system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Cites Work

• Unnamed Item
• Remarks on Chern-Simons-Dirac equations in one space dimension
• Local and global well posedness for the Chern-Simons-Dirac system in one dimension.
• Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension
• Global solutions and asymptotic behaviors of the Chern-Simons-Dirac equations in \(\mathbb R^{1+1}\)
• Well-posedness for nonlinear Dirac equations in one dimension
• Ill-posedness of the Cauchy problem for the Chern-Simons-Dirac system in one dimension
• Sharp Well-Posedness and Ill-Posedness for the Chern–Simons–Dirac System in One Dimension
• Global Solutions of the Cauchy Problem for the (Classical) Coupled Maxwell-Dirac and Other Nonlinear Dirac Equations in One Space Dimension
• Global wellposedness for a one-dimensional Chern–Simons–Dirac system inL^p

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