Inverse Uniqueness in Interior Transmission Problem and Its Eigenvalue Tunneling in Simple Domain
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-12
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study inverse uniqueness with a knowledge of spectral data of an interior transmission problem in a penetrable simple domain.
We expand the solution in a series of one-dimensional problems in the far-fields.
We define an ODE by restricting the PDE along a fixed scattered direction.
Accordingly, we obtain a Sturm-Liouville problem for each scattered direction.
There exists the correspondence between the ODE spectrum and the PDE spectrum.
We deduce the inverse uniqueness on the index of refraction from the discussion on the uniqueness anglewise of the Strum-Liouville problem.
American Psychological Association (APA)
Chen, Lung-Hui. 2016. Inverse Uniqueness in Interior Transmission Problem and Its Eigenvalue Tunneling in Simple Domain. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1095793
Modern Language Association (MLA)
Chen, Lung-Hui. Inverse Uniqueness in Interior Transmission Problem and Its Eigenvalue Tunneling in Simple Domain. Advances in Mathematical Physics No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1095793
American Medical Association (AMA)
Chen, Lung-Hui. Inverse Uniqueness in Interior Transmission Problem and Its Eigenvalue Tunneling in Simple Domain. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1095793
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095793