Modified low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system
| dc.creator | Pecher, Hartmut | |
| dc.date | 2007-03-08 | |
| dc.date.accessioned | 2026-07-07T07:50:52Z | |
| dc.date.available | 2026-07-07T07:50:52Z | |
| dc.description | 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 $\hat{H^{r,p}} \times \hat{H^{r-1,p}}$ for $1<p\le 2$ under certain assumptions on the parameters r and s, where $\|f\|_{\hat{H^{s,p}}} := \| < ξ>^s \hat{f}\|_{L^{p'}}$, 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. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703220 | |
| dc.identifier | http://arxiv.org/abs/math/0703220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125314 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q40; 35L70 | |
| dc.title | Modified low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system | |
| dc.type | text |