The factorization method for a class of inverse elliptic problems | Zendy

Kirsch Andreas | Zendy

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The factorization method for a class of inverse elliptic problems

Author(s) -

Kirsch Andreas

Publication year - 2005

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310239

Subject(s) - mathematics , divergence (linguistics) , inverse , dirichlet distribution , factorization , inverse problem , inverse scattering problem , class (philosophy) , mathematical analysis , boundary value problem , geometry , algorithm , computer science , philosophy , linguistics , artificial intelligence

In this paper the factorization method from inverse scattering theory and impedance tomography is extended to a class of general elliptic differential equations in divergence form. The inverse problem is to determine the interface ∂Ω of an interior change of the material parameters from the Neumann‐Dirichlet map. Since absorption is allowed a suitable combination of the real and imaginary part of the Neumann‐Dirichlet map is needed to explicitely characterize Ω by the data. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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