THE INVERSE CONDUCTIVITY PROBLEM WITH ONE MEASUREMENT - UNIQUENESS FOR CONVEX POLYHEDRA

Authors
BARCELO B FABES E SEO JK
Citation
B. Barcelo et al., THE INVERSE CONDUCTIVITY PROBLEM WITH ONE MEASUREMENT - UNIQUENESS FOR CONVEX POLYHEDRA, Proceedings of the American Mathematical Society, 122(1), 1994, pp. 183-189
Citations number
3
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
122
Issue
1
Year of publication
1994
Pages
183 - 189
Database
ISI
SICI code
0002-9939(1994)122:1<183:TICPWO>2.0.ZU;2-E
Abstract
Let OMEGA denote a smooth domain in R(n) containing the closure of a c onvex polyhedron D. Set chi(D) equal to the characteristic function of D. We find a flux g so that if u is the nonconstant solution of div ( (1 + chi(D))delu) = 0 in OMEGA with partial derivative u/partial deriv ative n = g on partial derivative OMEGA, then D is uniquely determined by the Cauchy data g and f = u/partial derivative OMEGA.