奇异时空上的波动方程
数学物理
2009-02-11 v2 广义相对论与量子宇宙学
偏微分方程分析
math.MP
摘要
我们在广义函数空间中，证明了一类弱奇异、局部有界时空度规下波动方程的局部唯一可解性。
引用
@article{arxiv.0710.2007,
title = {The wave equation on singular space-times},
author = {James D. E. Grant and Eberhard Mayerhofer and Roland Steinbauer},
journal= {arXiv preprint arXiv:0710.2007},
year = {2009}
}
评论
Latex, 19 pages, 1 figure. Discussion of class of metrics covered by our results and some examples added. Conclusion more detailed. Version to appear in Communications in Mathematical Physics