Inverse Problem of Travel Time Difference Functions on a Compact Riemannian Manifold with Boundary

被引：0

作者：

Maarten V. de Hoop

Teemu Saksala

机构：

[1] Rice University,Department of Computational Applied Mathematics

来源：

The Journal of Geometric Analysis | 2019年 / 29卷

关键词：

Inverse problems; Differential geometry; Geodesics; Distance functions; 35R30; 53C22;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that the travel time difference functions, between common interior points and pairs of points on the boundary, determine a compact Riemannian manifold with smooth boundary up to Riemannian isometry if the boundary satisfies a certain visibility condition. This corresponds with the inverse microseismicity problem. In the proof of this result, we also construct an explicit smooth atlas from the travel time difference functions.

引用

页码：3308 / 3327

页数：19

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