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


JYU authors or editors


Publication details

All authors or editorsChung, Francis J.; Ola, Petri; Salo, Mikko; Tzou, Leo

Journal or seriesAnnales de l'Institut Henri Poincare (C) Non Linear Analysis

ISSN0294-1449

eISSN1873-1430

Publication year2018

Volume35

Issue number3

Pages range605-624

PublisherElsevier

Publication countryFrance

Publication languageEnglish

DOIhttps://doi.org/10.1016/j.anihpc.2017.06.005

Publication open accessNot open

Publication channel open access

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.


Keywordsinverse problemsMaxwell equations

Free keywordspartial data; admissible manifolds; Carleman estimates


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Ministry reportingYes

Reporting Year2018

JUFO rating3


Last updated on 2023-03-10 at 13:39