STABLE DETERMINATION OF BOUNDARIES FROM CAUCHY DATA

Authors
BERETTA E VESSELLA S
Citation
E. Beretta et S. Vessella, STABLE DETERMINATION OF BOUNDARIES FROM CAUCHY DATA, SIAM journal on mathematical analysis (Print), 30(1), 1998, pp. 220-232
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis (Print) → ACNP
ISSN journal
00361410
Volume
30
Issue
1
Year of publication
1998
Pages
220 - 232
Database
ISI
SICI code
0036-1410(1998)30:1<220:SDOBFC>2.0.ZU;2-2
Abstract
The problem of determining a portion Gamma of the boundary of a bounde d planar domain Omega from Cauchy data arises in several contexts, for example, such as in corrosion detection from electrostatic measuremen ts. We investigate this severely ill-posed problem establishing logari thmic continuous dependence of Gamma from Cauchy data.