TY - JOUR
T1 - Inverse conductivity problem with one measurement
T2 - Uniqueness of balls in R3
AU - Kang, Hyeonbae
AU - Seo, Jin Keun
PY - 1999
Y1 - 1999
N2 - The location and size of an unknown ball D, entering the conductivity equation div ((1+(k-1)χD)▽u) = 0 in a bounded domain Ω⊂R3 are proven to be uniquely determined by any single non-zero Cauchy data (u, ∂u/∂ν) on ∂Ω. The global uniqueness results are obtained when D is restricted to be a convex polyhedron in three-dimensional space, and polygons and disks in the plane. The uniqueness of balls in three-dimensional space is presented.
AB - The location and size of an unknown ball D, entering the conductivity equation div ((1+(k-1)χD)▽u) = 0 in a bounded domain Ω⊂R3 are proven to be uniquely determined by any single non-zero Cauchy data (u, ∂u/∂ν) on ∂Ω. The global uniqueness results are obtained when D is restricted to be a convex polyhedron in three-dimensional space, and polygons and disks in the plane. The uniqueness of balls in three-dimensional space is presented.
UR - http://www.scopus.com/inward/record.url?scp=0033349134&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0033349134&partnerID=8YFLogxK
U2 - 10.1137/S0036139997324595
DO - 10.1137/S0036139997324595
M3 - Article
AN - SCOPUS:0033349134
SN - 0036-1399
VL - 59
SP - 1533
EP - 1539
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
IS - 5
ER -