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17 April 2024

» arxiv » math/0611718

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Low regularity well-posedness of the Dirac-Klein-Gordon equations in one space dimension
Sigmund Selberg ; Achenef Tesfahun ; PostScript ; PDF ; Other formats ;
Date:	23 Nov 2006
Subject:	Analysis of PDEs
Abstract:	We extend recent results of S. Machihara and H. Pecher on low regularity well-posedness of the Dirac-Klein-Gordon (DKG) system in one dimension. Our proof, like that of Pecher, relies on the null structure of DKG, recently completed by D’Ancona, Foschi and Selberg, but we show that in 1d the argument can be simplified by modifying the choice of projections for the Dirac operator. We also show that the result is best possible up to endpoint cases, if one iterates in Bourgain-Klainerman-Machedon spaces.
Source:	arXiv, math/0611718
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