Low regularity well-posedness for the one-dimensional Dirac - Klein - Gordon system

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dc.creatorPecher, Hartmut
dc.date2006-06-22
dc.date2006-12-05
dc.date.accessioned2026-07-07T07:17:34Z
dc.date.available2026-07-07T07:17:34Z
dc.descriptionLocal well-posedness for the Dirac - Klein - Gordon equations is proven in one space dimension, where the Dirac part belongs to H^{-{1/4}+ε} and the Klein - Gordon part to H^{{1/4}-ε} for 0 < ε< 1/4, and global well-posedness, if the Dirac part belongs to the charge class L^2 and the Klein - Gordon part to H^k with 0 < k < 1/2 . The proof uses a null structure in both nonlinearities detected by d'Ancona, Foschi and Selberg and bilinear estimates in spaces of Bourgain-Klainerman-Machedon type.
dc.description14 pages. Final version to appear in Electronic Journal of Differential Equations
dc.identifierhttps://arxiv.org/abs/math/0606555
dc.identifierhttp://arxiv.org/abs/math/0606555
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113983
dc.subjectAnalysis of PDEs
dc.subject35Q40; 35L70
dc.titleLow regularity well-posedness for the one-dimensional Dirac - Klein - Gordon system
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