Low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system
| dc.contributor.author | Pecher, Hartmut | |
| dc.date.accessioned | 2021-07-21T15:39:13Z | |
| dc.date.available | 2021-07-21T15:39:13Z | |
| dc.date.issued | 2006-12-05 | |
| dc.description.abstract | Local well-posedness for Dirac-Klein-Gordon equations is proven in one space dimension, where the Dirac part belongs to H-1/4+ɛ and the Klein-Gordon part to H1/4-ɛ for 0 < ɛ < 1/4, and global well-posedness, if the Dirac part belongs to the charge class L2 and the Klein-Glordon part to Hk 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.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Pecher, H. (2006). Low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system. <i>Electronic Journal of Differential Equations, 2006</i>(150), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14023 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Dirac-Klein-Gordon system | |
| dc.subject | Well-posedness | |
| dc.subject | Fourier restriction norm method | |
| dc.title | Low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system | |
| dc.type | Article |