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 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
Publication open access: Not 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.
Keywords: inverse problems; Maxwell equations
Free keywords: partial data; admissible manifolds; Carleman estimates
Contributing organizations
Related projects
- Centre of Excellence in Inverse Problems Research
- Salo, Mikko
- Research Council of Finland
- InvProbGeomPDE Inverse Problems in Partial Differential Equations and Geometry
- Salo, Mikko
- European Commission
Ministry reporting: Yes
Reporting Year: 2018
JUFO rating: 3