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Low regularity global solutions of the Dirac-Klein-Gordon equations in one space dimension.

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Publication:601545
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zbMath1212.35269MaRDI QIDQ601545

Dominic Gibbeson, Nikolaos Bournaveas

Publication date: 28 October 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

Dirac equationone space dimensionspinor fieldbilinear estimateDirac-Klein-Gordon equation


Mathematics Subject Classification ID

Wave equation (35L05) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)


Related Items (7)

Global well-posedness of the Maxwell-Dirac system in two space dimensions ⋮ Remarks on regularity and uniqueness of the Dirac-Klein-Gordon equations in one space dimension ⋮ Low-regularity integrators for nonlinear Dirac equations ⋮ Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension ⋮ Well-posedness for nonlinear Dirac equations in one dimension ⋮ On the radius of spatial analyticity for the 1d Dirac-Klein-Gordon equations ⋮ Growth-in-time of higher Sobolev norms of solutions to the 1D Dirac–Klein–Gordon system




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