Abstract
In a recent paper [6] we showed that an unknown real‐analytic conductivity γ may be determined from static boundary measurements. Here we extend this analysis by demonstrating that a similar result holds for piecewise real‐analytic conductivities. In addition, for the special case of a layered structure we show that a three times continuously differentiable conductivity is identifiable by boundary measurements.
Original language | English (US) |
---|---|
Pages (from-to) | 643-667 |
Number of pages | 25 |
Journal | Communications on Pure and Applied Mathematics |
Volume | 38 |
Issue number | 5 |
DOIs | |
State | Published - 1985 |
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ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
Determining conductivity by boundary measurements II. Interior results. / Kohn, Robert; Vogelius, M.
In: Communications on Pure and Applied Mathematics, Vol. 38, No. 5, 1985, p. 643-667.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Determining conductivity by boundary measurements II. Interior results
AU - Kohn, Robert
AU - Vogelius, M.
PY - 1985
Y1 - 1985
N2 - In a recent paper [6] we showed that an unknown real‐analytic conductivity γ may be determined from static boundary measurements. Here we extend this analysis by demonstrating that a similar result holds for piecewise real‐analytic conductivities. In addition, for the special case of a layered structure we show that a three times continuously differentiable conductivity is identifiable by boundary measurements.
AB - In a recent paper [6] we showed that an unknown real‐analytic conductivity γ may be determined from static boundary measurements. Here we extend this analysis by demonstrating that a similar result holds for piecewise real‐analytic conductivities. In addition, for the special case of a layered structure we show that a three times continuously differentiable conductivity is identifiable by boundary measurements.
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UR - http://www.scopus.com/inward/citedby.url?scp=84990557216&partnerID=8YFLogxK
U2 - 10.1002/cpa.3160380513
DO - 10.1002/cpa.3160380513
M3 - Article
AN - SCOPUS:84990557216
VL - 38
SP - 643
EP - 667
JO - Communications on Pure and Applied Mathematics
JF - Communications on Pure and Applied Mathematics
SN - 0010-3640
IS - 5
ER -