Loading...
A uniqueness result in the inverse problem for the anisotropic Schrödinger type equation from local measurements
Date
2026-04-17
Abstract
We consider the inverse boundary value problem of the simultaneous determination of the coefficients σ and q of the equation −div(σ∇u)+qu=0 from knowledge of the so-called Neumann-to-Dirichlet map, given locally on a non-empty curved portion Σ of the boundary ∂Ω of a domain Ω⊂Rn, with n≥3. We assume that σ and q are a-priori known to be a piecewise constant matrix-valued and scalar function, respectively, on a given partition of Ω with curved interfaces. We prove that σ and q can be uniquely determined in Ω from the knowledge of the local map.
Supervisor
Description
Publisher
Springer Nature
Citation
Annali di Matematica Pura ed Applicata
Files
ULRR Identifiers
Funding code
Funding Information
Sustainable Development Goals
External Link
License
Attribution-NonCommercial-ShareAlike 4.0 International