Citation
Hb. Kang et Jk. Seo, Inverse conductivity problem with one measurement: Uniqueness of balls in R-3, SIAM J A MA, 59(5), 1999, pp. 1533-1539
Citations number
10
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN journal
00361399
→ ACNP
Volume
59
Issue
5
Year of publication
1999
Pages
1533 - 1539
Database
ISI
SICI code
0036-1399(19990901)59:5<1533:ICPWOM>2.0.ZU;2-J
Abstract
We prove that the location and size of an unknown ball D entering the condu
ctivity equation div((1 +(k - 1)chi(D))del u) = 0 in a bounded domain Omega
subset of R-3 are uniquely determined by any single nonzero Cauchy data (u
; partial derivative u/partial derivative v) on partial derivative Omega.