On the Uniqueness in the Inverse Conductivity Problem

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

Let Ω be a smooth domain in R2 containing a polygon D. The inverse conductivity problem to the the elliptic equation div((1 + (k -1)χD)∇u) = 0 in Ω is considered. We show that D is uniquely determined from boundary measurements corresponding two appropriately chosen Neumann datas.

Original languageEnglish
Pages (from-to)226-235
Number of pages10
JournalJournal of Fourier Analysis and Applications
Volume2
Issue number3
Publication statusPublished - 1996 Dec 1

Fingerprint

Inverse Conductivity Problem
Elliptic Equations
Polygon
Uniqueness

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics(all)
  • Applied Mathematics

Cite this

@article{1bbe8e9d7ac3485a80b610efdb012dad,
title = "On the Uniqueness in the Inverse Conductivity Problem",
abstract = "Let Ω be a smooth domain in R2 containing a polygon D. The inverse conductivity problem to the the elliptic equation div((1 + (k -1)χD)∇u) = 0 in Ω is considered. We show that D is uniquely determined from boundary measurements corresponding two appropriately chosen Neumann datas.",
author = "Seo, {Jin Keun}",
year = "1996",
month = "12",
day = "1",
language = "English",
volume = "2",
pages = "226--235",
journal = "Journal of Fourier Analysis and Applications",
issn = "1069-5869",
publisher = "Birkhause Boston",
number = "3",

}

On the Uniqueness in the Inverse Conductivity Problem. / Seo, Jin Keun.

In: Journal of Fourier Analysis and Applications, Vol. 2, No. 3, 01.12.1996, p. 226-235.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On the Uniqueness in the Inverse Conductivity Problem

AU - Seo, Jin Keun

PY - 1996/12/1

Y1 - 1996/12/1

N2 - Let Ω be a smooth domain in R2 containing a polygon D. The inverse conductivity problem to the the elliptic equation div((1 + (k -1)χD)∇u) = 0 in Ω is considered. We show that D is uniquely determined from boundary measurements corresponding two appropriately chosen Neumann datas.

AB - Let Ω be a smooth domain in R2 containing a polygon D. The inverse conductivity problem to the the elliptic equation div((1 + (k -1)χD)∇u) = 0 in Ω is considered. We show that D is uniquely determined from boundary measurements corresponding two appropriately chosen Neumann datas.

UR - http://www.scopus.com/inward/record.url?scp=0242387569&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242387569&partnerID=8YFLogxK

M3 - Article

VL - 2

SP - 226

EP - 235

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

SN - 1069-5869

IS - 3

ER -