Uniqueness in the Inverse Conductivity Problem for Conductivities with 3/2 Derivatives in L p, p > 2n

Russell M. Brown; Rodolfo H. Torres

doi:10.1007/s00041-003-0902-3

Uniqueness in the Inverse Conductivity Problem for Conductivities with 3/2 Derivatives in L ^p, p > 2n

Russell M. Brown, Rodolfo H. Torres

Mathematics

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

67 Scopus citations

Abstract

We establish uniqueness in the inverse conductivity problem for conductivities which have 5/2 derivatives in L ^p, p > 2n. Our results are in dimensions three and higher.

Original language	English
Pages (from-to)	563-574
Number of pages	12
Journal	Journal of Fourier Analysis and Applications
Volume	9
Issue number	6
DOIs	https://doi.org/10.1007/s00041-003-0902-3
State	Published - 2003

Keywords

Inverse conductivity problem
Sobolev spaces

ASJC Scopus subject areas

Analysis
General Mathematics
Applied Mathematics

Access to Document

10.1007/s00041-003-0902-3

Cite this

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title = "Uniqueness in the Inverse Conductivity Problem for Conductivities with 3/2 Derivatives in L p, p > 2n",

abstract = "We establish uniqueness in the inverse conductivity problem for conductivities which have 5/2 derivatives in L p, p > 2n. Our results are in dimensions three and higher.",

keywords = "Inverse conductivity problem, Sobolev spaces",

author = "Brown, {Russell M.} and Torres, {Rodolfo H.}",

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language = "English",

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AU - Torres, Rodolfo H.

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AB - We establish uniqueness in the inverse conductivity problem for conductivities which have 5/2 derivatives in L p, p > 2n. Our results are in dimensions three and higher.

KW - Inverse conductivity problem

KW - Sobolev spaces

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