Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system
| dc.contributor.author | Tesfahun, Achenef ( ) | |
| dc.date.accessioned | 2021-08-18T18:12:48Z | |
| dc.date.available | 2021-08-18T18:12:48Z | |
| dc.date.issued | 2007-11-21 | |
| dc.identifier.citation | Tesfahun, A. (2007). Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system. Electronic Journal of Differential Equations, 2007(162), pp. 1-26. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/14376 | |
| dc.description.abstract | We prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1+3 dimensions is locally well-posed in a range of Sobolev spaces for the Dirac spinor and the meson field. The result contains and extends the earlier known results for the same problem. Our proof relies on the null structure in the system, and bilinear spacetime estimates of Klainerman-Machedon type. | en_US |
| dc.format | Text | |
| dc.format.extent | 26 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Dirac equation | en_US |
| dc.subject | Klein-Gordon equation | en_US |
| dc.subject | Low regular solutions | en_US |
| dc.subject | Local well-posedness | en_US |
| dc.title | Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
