Global Well-posedness of the 1D Dirac-Klein-Gordon system in Sobolev spaces of negative index

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dc.creatorTesfahun, Achenef
dc.date2008-09-06
dc.date.accessioned2026-07-07T10:01:17Z
dc.date.available2026-07-07T10:01:17Z
dc.descriptionWe prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1D is globally well-posed in a range of Sobolev spaces of negative index for the Dirac spinor and positive index for the scalar field. The main ingredient in the proof is the theory of almost conservation law and I-method introduced by Colliander, Keel, Staffilani, Takaoka and Tao. Our proof also relies on the null structure in the system, and bilinear spacetime estimates of Klainerman-Machedon type.
dc.description26 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0809.1164
dc.identifierhttp://arxiv.org/abs/0809.1164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168583
dc.subjectAnalysis of PDEs
dc.subject35Q40; 35L70
dc.titleGlobal Well-posedness of the 1D Dirac-Klein-Gordon system in Sobolev spaces of negative index
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