Inverse uniqueness in interior transmission problem and its eigenvalue tunneling in simple domain
type: Item
instance of: scholarly article
title: Inverse uniqueness in interior transmission problem and its eigenvalue tunneling in simple domain
DOI: 10.1155/2016/2438253
author: Lung-Hui Chen
published in: Advances in Mathematical Physics
publication date: 2018-10-17T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35-XX
Mathematics Subject Classification ID: 34-XX
zbMATH DE Number: 6957365
Wikidata QID: Q59122202
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2438253
OpenAlex ID: W2237867477
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description: scientific article; zbMATH DE number 6957365