Determining conductivity by boundary measurements II. Interior results

R. V. Kohn; M. Vogelius

doi:10.1002/cpa.3160380513

Determining conductivity by boundary measurements II. Interior results

R. V. Kohn, M. Vogelius

Mathematics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1002/cpa.3160380513
State	Published - Sep 1985

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "Determining conductivity by boundary measurements II. Interior results",

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.",

author = "Kohn, {R. V.} and M. Vogelius",

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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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Determining conductivity by boundary measurements II. Interior results

Abstract

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