Low Regularity Global Well-Posedness for the Klein-Gordon-Schrödinger System with the Higher Order Yukawa Coupling
| dc.creator | Miao, Changxing | |
| dc.creator | Xu, Guixiang | |
| dc.date | 2006-06-04 | |
| dc.date | 2006-06-08 | |
| dc.date.accessioned | 2026-07-07T10:08:35Z | |
| dc.date.available | 2026-07-07T10:08:35Z | |
| dc.description | In this paper, we consider the Klein-Gordon-Schrödinger system with the higher order Yukawa coupling in $ \mathbb{R}^{1+1} $, and prove the local and global wellposedness in $L^2\times H^{1/2}$. The method to be used is adapted from the scheme originally by Colliander J., Holmer J., Tzirakis N. \cite{CoHT06} to use the available $L^2$ conservation law of $u$ and control the growth of $n$ via the estimates in the local theory. | |
| dc.description | 13 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0606079 | |
| dc.identifier | http://arxiv.org/abs/math/0606079 | |
| dc.identifier | Differential and Integral Equations Volume 20, Number 6(2007)643-656 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171046 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35L15, 35Q55 | |
| dc.title | Low Regularity Global Well-Posedness for the Klein-Gordon-Schrödinger System with the Higher Order Yukawa Coupling | |
| dc.type | text |