Low regularity well-posedness for the one-dimensional Dirac - Klein - Gordon system
偏微分方程分析
2007-05-23 v2
摘要
Local well-posedness for the Dirac - Klein - Gordon equations is proven in one space dimension, where the Dirac part belongs to H^{-{1/4}+\epsilon} and the Klein - Gordon part to H^{{1/4}-\epsilon} for 0 < \epsilon < 1/4, and global well-posedness, if the Dirac part belongs to the charge class L^2 and the Klein - Gordon part to H^k 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.
关键词
引用
@article{arxiv.math/0606555,
title = {Low regularity well-posedness for the one-dimensional Dirac - Klein - Gordon system},
author = {Hartmut Pecher},
journal= {arXiv preprint arXiv:math/0606555},
year = {2007}
}
备注
14 pages. Final version to appear in Electronic Journal of Differential Equations