Year: 2000
Type: article
Abstract: We consider an inverse problem for electrically conductive material occupying a domain Ω in ℝ 2 . Let γ be the conductivity of Ω, and D a subdomain of Ω. We assume that γ is a positive constant k on D , k ≠1 and is 1 on Ω∖ D ; both D and k are unknown. The problem is to find a reconstruction formula of D from the Cauchy data on ∂Ω of a non-constant solution u of the equation ∇·γ∇ u = 0 in Ω. We prove that if D is known to be a convex polygon such that diam D
Source: Inverse Problems
Author: Masaru Ikehata
Institution: Gunma University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2021346450