Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain | Zendy

Beilina Larisa | Zendy; Cristofol Michel | Zendy; Li Shumin | Zendy

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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.

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