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Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain
Author(s) -
Beilina Larisa,
Cristofol Michel,
Li Shumin
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4728
Subject(s) - mathematics , uniqueness , operator (biology) , mathematical analysis , domain (mathematical analysis) , conductivity , boundary (topology) , stability (learning theory) , hyperbolic partial differential equation , function (biology) , boundary value problem , partial differential equation , physics , biochemistry , chemistry , repressor , quantum mechanics , machine learning , evolutionary biology , biology , computer science , transcription factor , gene
This paper is devoted to the reconstruction of the conductivity coefficient for a nonautonomous hyperbolic operator an infinite cylindrical domain. Applying a local Carleman estimate, we prove the uniqueness and a Hölder stability in the determination of the conductivity using a single measurement data on the lateral boundary. Our numerical examples show good reconstruction of the location and contrast of the conductivity function in 3 dimensions.