Sharp Well-Posedness and Ill-Posedness for the Chern–Simons–Dirac System in One Dimension

DOI10.1093/IMRN/RNV160zbMath1339.35263OpenAlexW2254811671MaRDI QIDQ2801962

Mamoru Okamoto, Shuji Machihara

Publication date: 22 April 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnv160

zbMATH Keywords

well-posednessill-posednessSobolev regularityChern-Simons-Dirac system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Ill-posed problems for PDEs (35R25) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (6)

Norm inflation for the generalized Boussinesq and Kawahara equations ⋮ Instability and nonuniqueness for the \(b\)-Novikov equation ⋮ Strong ill-posedness for fractional Hartree and cubic NLS equations ⋮ Well-posedness for the dimension-reduced Chern-Simons-Dirac system ⋮ A remark on norm inflation for nonlinear Schrödinger equations ⋮ Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension

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