Stability for the reconstruction of a Riemannian metric by boundary measurements

Authors
Wang, JN
Citation
Jn. Wang, Stability for the reconstruction of a Riemannian metric by boundary measurements, INVERSE PR, 15(5), 1999, pp. 1177-1192
Citations number
8
Categorie Soggetti
Physics
Journal title
INVERSE PROBLEMS
ISSN journal
02665611 → ACNP
Volume
15
Issue
5
Year of publication
1999
Pages
1177 - 1192
Database
ISI
SICI code
0266-5611(199910)15:5<1177:SFTROA>2.0.ZU;2-T
Abstract
In this paper we consider an inverse problem on the reconstruction of a Rie mannian metric in an open bounded domain Omega subset of R-3 by a set of bo undary measurements. Under some restrictions on the Riemannian metrics, we are able to derive a stability estimate for this inverse problem.