论文信息 - Stability for an inverse problem in potential theory

Stability for an inverse problem in potential theory

Let D be a subdomain of a bounded domain Ω in R n . The conductivity coefficient of D is a positive constant k ¬=; 1 and the conductivity of Ω/D is equal to 1. For a given current density g on ∂Ω, we compute the resulting potential u and denote by f the value of u on ∂Ω. The general inverse problem is to estimate the location of D from the known measurements of the voltage f. If D h is a family of domains for which the Hausdorff distance d(D, D h ) equal to O(h) (h small), then the corresponding measurements f h are O(h) close to f

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