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Modified low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system | | Hartmut Pecher
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8 Mar 2007 | | Subject: | Analysis of PDEs | | Abstract: | The 1D Cauchy problem for the Dirac-Klein-Gordon system is shown to be locally well-posed for low regularity Dirac data in $hat{H^{s,p}}$ and wave data in $hat{H^{r,p}} imes hat{H^{r-1,p}}$ for $1<ple 2$ under certain assumptions on the parameters r and s, where $ f _{hat{H^{s,p}}} := < xi >^s hat{f} _{L^{p’}}$, generalizing the results for $p=2$ by Selberg and Tesfahun. Especially we are able to improve the results from the scaling point of view with respect to the Dirac part. | | Source: | arXiv, math/0703220 | | Services: | Forum | Review | PDF | Favorites | |
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