On the Determination of a Coefficient of an Elliptic Equation via Partial Boundary Measurement

Hyeonbae Kang; June Yub Lee; Igor Trooshin

doi:10.1007/978-3-031-24311-0_12

On the Determination of a Coefficient of an Elliptic Equation via Partial Boundary Measurement

Hyeonbae Kang
, June Yub Lee
, Igor Trooshin

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We consider an inverse problem to identify coefficient of elliptic equation via partial boundary measurement when the given domain is a rectangle and the coefficient depends only on one variable. We prove unique identifiability and provide reconstruction procedure in this case using classical results of the inverse Sturm–Liouville theory.

Original language	English
Title of host publication	Trends in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	197-208
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-031-24311-0_12
State	Published - 2022

Publication series

Name	Trends in Mathematics
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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10.1007/978-3-031-24311-0_12

Cite this

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abstract = "We consider an inverse problem to identify coefficient of elliptic equation via partial boundary measurement when the given domain is a rectangle and the coefficient depends only on one variable. We prove unique identifiability and provide reconstruction procedure in this case using classical results of the inverse Sturm–Liouville theory.",

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On the Determination of a Coefficient of an Elliptic Equation via Partial Boundary Measurement

Abstract

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Bibliographical note

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Cite this