scholarly journals Stability in the inverse nodal solution for the interior transmission problem

2016 ◽  
Vol 260 (3) ◽  
pp. 2490-2506 ◽  
Author(s):  
Chuan-Fu Yang
Keyword(s):  
Transmission Problem ◽  
Nodal Solution ◽  
Interior Transmission Problem

On the Spectrum of the Interior Transmission Problem in Isotropic Elasticity

2007 ◽  
Vol 90 (3) ◽  
pp. 295-313 ◽  
Author(s):  
Antonios Charalambopoulos ◽  
Konstantinos A. Anagnostopoulos
Keyword(s):  
Transmission Problem ◽  
Isotropic Elasticity ◽  
Interior Transmission Problem

scholarly journals The Green function of the interior transmission problem and its applications

2012 ◽  
Vol 6 (3) ◽  
pp. 487-521 ◽  
Author(s):  
Kyoungsun Kim ◽  
◽  
Gen Nakamura ◽  
Mourad Sini ◽  
◽  
...  
Keyword(s):  
Green Function ◽  
Transmission Problem ◽  
The Green Function ◽  
Interior Transmission Problem

scholarly journals Inverse Uniqueness in Interior Transmission Problem and Its Eigenvalue Tunneling in Simple Domain

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Lung-Hui Chen
Keyword(s):  
Spectral Data ◽  
Liouville Problem ◽  
Transmission Problem ◽  
Index Of Refraction ◽  
One Dimensional ◽  
Far Fields ◽  
Sturm Liouville ◽  
Interior Transmission Problem

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.

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