Recovering the conductivity at the boundary from the Dirichlet to Neumann map: A pointwise result

R. M. Brown

doi:10.1515/jiip.2001.9.6.567

Recovering the conductivity at the boundary from the Dirichlet to Neumann map: A pointwise result

R. M. Brown

Mathematics

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

52 Scopus citations

Abstract

A formula is given for recovering the boundary values of the coefficient γ of an elliptic operator, divγ∇, from the Dirichlet to Neumann map. The main point is that one may recover γ without any a priori smoothness assumptions. The formula allows one to recover the value of γ pointwise.

Original language	English
Pages (from-to)	567-574
Number of pages	8
Journal	Journal of Inverse and Ill-Posed Problems
Volume	9
Issue number	6
DOIs	https://doi.org/10.1515/jiip.2001.9.6.567
State	Published - 2001

Bibliographical note

Funding Information:
Research supported by the National Science foundation and the Commonwealth of Kentucky through the Kentucky NSF-EPSCoR program.

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1515/jiip.2001.9.6.567

Cite this

@article{eae36f671fbb4c0ab26cd3ad72ce19f7,

title = "Recovering the conductivity at the boundary from the Dirichlet to Neumann map: A pointwise result",

abstract = "A formula is given for recovering the boundary values of the coefficient γ of an elliptic operator, divγ∇, from the Dirichlet to Neumann map. The main point is that one may recover γ without any a priori smoothness assumptions. The formula allows one to recover the value of γ pointwise.",

author = "Brown, {R. M.}",

note = "Funding Information: Research supported by the National Science foundation and the Commonwealth of Kentucky through the Kentucky NSF-EPSCoR program.",

year = "2001",

doi = "10.1515/jiip.2001.9.6.567",

language = "English",

volume = "9",

pages = "567--574",

number = "6",

}

TY - JOUR

T1 - Recovering the conductivity at the boundary from the Dirichlet to Neumann map

T2 - A pointwise result

AU - Brown, R. M.

N1 - Funding Information: Research supported by the National Science foundation and the Commonwealth of Kentucky through the Kentucky NSF-EPSCoR program.

PY - 2001

Y1 - 2001

N2 - A formula is given for recovering the boundary values of the coefficient γ of an elliptic operator, divγ∇, from the Dirichlet to Neumann map. The main point is that one may recover γ without any a priori smoothness assumptions. The formula allows one to recover the value of γ pointwise.

AB - A formula is given for recovering the boundary values of the coefficient γ of an elliptic operator, divγ∇, from the Dirichlet to Neumann map. The main point is that one may recover γ without any a priori smoothness assumptions. The formula allows one to recover the value of γ pointwise.

UR - http://www.scopus.com/inward/record.url?scp=0035717105&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035717105&partnerID=8YFLogxK

U2 - 10.1515/jiip.2001.9.6.567

DO - 10.1515/jiip.2001.9.6.567

M3 - Article

AN - SCOPUS:0035717105

SN - 0928-0219

VL - 9

SP - 567

EP - 574

JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

IS - 6

ER -

Recovering the conductivity at the boundary from the Dirichlet to Neumann map: A pointwise result

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this