Well-posedness and ill-posedness of the Cauchy problem for the Maxwell-Dirac system in \(1+1\) space time dimensions
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Publication:1940055
zbMath1261.35126MaRDI QIDQ1940055
Publication date: 5 March 2013
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ade/1355867485
Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with quantum mechanics (35Q40) Maxwell equations (35Q61)
Related Items (4)
Growth of Sobolev norms for the Maxwell–Dirac and Dirac–Klein–Gordon systems in R 1 + 1 ⋮ Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field ⋮ Global solution to Maxwell-Dirac equations in \(1+1\) dimensions ⋮ Ill-posedness of the Maxwell-Dirac system below charge in space dimension three and lower
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