Show simple item record

dc.contributor.authorKim, Yong-Jung
dc.contributor.authorLee, Min-Gi
dc.date.accessioned2015-12-01T07:50:45Z
dc.date.available2015-12-01T07:50:45Z
dc.date.issued2015-06-23
dc.identifier.citationWell-posedness of the conductivity reconstruction from an interior current density in terms of Schauder theory 2015, 73 (3):419 Quarterly of Applied Mathematics
dc.identifier.issn0033-569X
dc.identifier.issn1552-4485
dc.identifier.doi10.1090/qam/1368
dc.identifier.urihttp://hdl.handle.net/10754/583036
dc.description.abstractWe show the well-posedness of the conductivity image reconstruction problem with a single set of interior electrical current data and boundary conductivity data. Isotropic conductivity is considered in two space dimensions. Uniqueness for similar conductivity reconstruction problems has been known for several cases. However, the existence and the stability are obtained in this paper for the first time. The main tool of the proof is the method of characteristics of a related curl equation.
dc.language.isoen
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.urlhttp://www.ams.org/qam/2015-73-03/S0033-569X-2015-01368-9/
dc.relation.urlhttp://amath.kaist.ac.kr/papers/Kim/18.pdf
dc.rightsArchived with thanks to Quarterly of Applied Mathematics
dc.titleWell-posedness of the conductivity reconstruction from an interior current density in terms of Schauder theory
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalQuarterly of Applied Mathematics
dc.eprint.versionPre-print
dc.contributor.institutionDepartment of Mathematical Sciences, KAIST, Daejeon 305-701, Republic of Korea, and National Institute of Mathematical Sciences, Daejeon 305-811, Republic of Korea
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personLee, Min-Gi
refterms.dateFOA2018-06-13T14:06:24Z


Files in this item

Thumbnail
Name:
18.pdf
Size:
179.6Kb
Format:
PDF

This item appears in the following Collection(s)

Show simple item record