Rough Solutions of Einstein Vacuum Equations in CMCSH Gauge

被引：9

作者：

Wang, Qian ^{[1
,2
]}

机构：

[1] Univ Oxford, Math Inst, Oxford PDE Ctr, Oxford, England

[2] Max Planck Inst Gravitat Phys, D-14476 Golm, Germany

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2014年 / 328卷 / 03期

关键词：

LINEAR WAVE-EQUATIONS; NONSMOOTH COEFFICIENTS; HYPERBOLIC SYSTEMS; OPERATORS; GEOMETRY;

D O I：

10.1007/s00220-014-2015-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider very rough solutions to the Cauchy problem for the Einstein vacuum equations in CMC spatial harmonic gauge, and obtain the local well-posedness result in H (s) , s > 2. The novelty of our approach lies in that, without resorting to the standard paradifferential regularization over the rough, Einstein metric g, we manage to implement the commuting vector field approach to prove Strichartz estimate for geometric wave equation directly.

引用

页码：1275 / 1340

页数：66

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