Open AccessA uniqueness theorem for inverse problems in quasilinear anisotropic media
Author(s) -
Md. Ibrahim Kholil,
Zheng 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.