Inverse boundary value problem for Maxwell equations with local data

2009/02/23 by Pedro Caro, Caro, Pedro, Petri Ola +3 · 1 citation
Computer Science · Engineering · Mathematics · #34A30 #34A55 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.0902.4026

openalex publication_date 2009/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a uniqueness theorem for an inverse boundary value problem for the Maxwell system with boundary data assumed known only in part of the bound- ary. We assume that the inaccessible part of the boundary is either part of a plane, or part of a sphere. This work generalizes the results obtained by Isakov for the Schrödinger equation to Maxwell equations.

Citations

• A Global Uniqueness Theorem for an Inverse Boundary Value Problem
• Inverse problems with partial data for a Dirac system: a Carleman estimate approach

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• Boundary determination of electromagnetic parameters from local data

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