WELL-POSEDNESS OF THE CONDUCTIVITY RECONSTRUCTION FROM AN INTERIOR CURRENT DENSITY IN TERMS OF SCHAUDER THEORY

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We 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.
Publisher
BROWN UNIV
Issue Date
2015-09
Language
English
Article Type
Article
Citation

QUARTERLY OF APPLIED MATHEMATICS, v.73, no.3, pp.419 - 433

ISSN
0033-569X
DOI
10.1090/qam/1368
URI
http://hdl.handle.net/10203/207869
Appears in Collection
MA-Journal Papers(저널논문)
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