Ill-posedness of the Cauchy problem for the Chern-Simons-Dirac system in one dimension
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Publication:2254019
DOI10.1016/j.jde.2014.10.020zbMath1307.35246OpenAlexW2019615070MaRDI QIDQ2254019
Mamoru Okamoto, Shuji Machihara
Publication date: 4 February 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.10.020
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (5)
Norm inflation for the generalized Boussinesq and Kawahara equations ⋮ Well-posedness for the dimension-reduced Chern-Simons-Dirac system ⋮ Well-posedness for KdV-type equations with quadratic nonlinearity ⋮ A remark on norm inflation for nonlinear Schrödinger equations ⋮ Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension
Cites Work
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- 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
- On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions
- Structure of Dirac matrices and invariants for nonlinear Dirac equations.
- Global wellposedness for a one-dimensional Chern–Simons–Dirac system inLp
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