A1 Journal article (refereed)
Partial data inverse problems for Maxwell equations via Carleman estimates (2018)


Chung, F. J., Ola, P., Salo, M., & Tzou, L. (2018). Partial data inverse problems for Maxwell equations via Carleman estimates. Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 35 (3), 605-624. doi:10.1016/j.anihpc.2017.06.005


JYU authors or editors


Publication details

All authors or editors: Chung, Francis J.; Ola, Petri; Salo, Mikko; Tzou, Leo

Journal or series: Annales de l'Institut Henri Poincare (C) Non Linear Analysis

ISSN: 0294-1449

eISSN: 1873-1430

Publication year: 2018

Volume: 35

Issue number: 3

Pages range: 605-624

Publisher: Elsevier

Publication country: France

Publication language: English

DOI: https://doi.org/10.1016/j.anihpc.2017.06.005

Open Access: Publication channel is not openly available

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/56747


Abstract

In this article we consider an inverse boundary value problem for the time-harmonic Maxwell equations. We show that the electromagnetic material parameters are determined by boundary measurements where part of the boundary data is measured on a possibly very small set. This is an extension of earlier scalar results of Bukhgeim–Uhlmann and Kenig–Sjöstrand–Uhlmann to the Maxwell system. The main contribution is to show that the Carleman estimate approach to scalar partial data inverse problems introduced in those works can be carried over to the Maxwell system.


Keywords: inverse problems; Maxwell equations

Free keywords: partial data; admissible manifolds; Carleman estimates


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Ministry reporting: Yes

Reporting Year: 2018

JUFO rating: 3


Last updated on 2020-17-10 at 23:05