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Licensed Unlicensed Requires Authentication Published by De Gruyter December 17, 2020

Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem

  • Nguyen Trung Thành ORCID logo EMAIL logo

Abstract

We investigate a globally convergent method for solving a one-dimensional inverse medium scattering problem using backscattering data at a finite number of frequencies. The proposed method is based on the minimization of a discrete Carleman weighted objective functional. The global convexity of this objective functional is proved.

MSC 2010: 35R30; 35J05; 78A46

Dedicated to Professor Michael V. Klibanov on his 70th birthday


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Received: 2020-08-25
Accepted: 2020-11-11
Published Online: 2020-12-17
Published in Print: 2022-08-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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