DETERMINING LINEAR CRACKS BY BOUNDARY MEASUREMENTS - LIPSCHITZ STABILITY

Authors
ALESSANDRINI G BERETTA E VESSELLA S
Citation
G. Alessandrini et al., DETERMINING LINEAR CRACKS BY BOUNDARY MEASUREMENTS - LIPSCHITZ STABILITY, SIAM journal on mathematical analysis, 27(2), 1996, pp. 361-375
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
27
Issue
2
Year of publication
1996
Pages
361 - 375
Database
ISI
SICI code
0036-1410(1996)27:2<361:DLCBBM>2.0.ZU;2-3
Abstract
We consider the inverse boundary value problem of crack detection in a two-dimensional electrical conductor. We prove an estimate of Lipschi tz type on the continuous dependence of an unknown linear crack from t he boundary measurements.