A uniqueness theorem for inverse problems in quasilinear anisotropic media | Zendy

Md. Ibrahim Kholil | Zendy; Ziqi Sun | Zendy

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A uniqueness theorem for inverse problems in quasilinear anisotropic media

Author(s) -

Md. Ibrahim Kholil,

Ziqi Sun

Publication year - 2022

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2022008

Subject(s) - uniqueness , anisotropy , inverse , scalar (mathematics) , uniqueness theorem for poisson's equation , inverse problem , current (fluid) , boundary (topology) , mathematical analysis , mathematics , computer science , calculus (dental) , physics , optics , geometry , dentistry , thermodynamics , medicine

We study the question of whether one can uniquely determine a scalar quasilinear conductivity in an anisotropic medium by making voltage and current measurements at the boundary. This paper is dedicated to the memory of Professor Victor Isakov, who has made enormous contribution to the theory of inverse problem.

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