Partial data inverse problems for Maxwell equations via Carleman estimates
Final Draft351.7Kb
Chung, F. J., Ola, P., Salo, M., & Tzou, L. (2017). 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
Julkaistu sarjassa
Annales de l'Institut Henri Poincare (C) Non Linear AnalysisPäivämäärä
2018Oppiaine
MatematiikkaPääsyrajoitukset
Tekijänoikeudet
© 2017 Elsevier Masson SAS. This is a final draft version of an article whose final and definitive form has been published by Elsevier. Published in this repository with the kind permission of the publisher.
In this article we consider an inverse boundary value problem for the timeharmonic
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 BukhgeimUhlmann
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.