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Determining conductivity by boundary measurements II. Interior results
Author(s) -
Kohn R. V.,
Vogelius M.
Publication year - 1985
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160380513
Subject(s) - conductivity , differentiable function , boundary (topology) , mathematics , piecewise , mathematical analysis , boundary value problem , boundary values , physics , quantum mechanics
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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