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Abstract
We consider inverse obstacle and transmission scattering problems where the source of the incident waves is located on a smooth closed surface that is a boundary of a domain located outside of the obstacle/inhomogeneity of the media. The domain can be arbitrarily small but fixed.The scattered waves are measured on the same surface. An effective procedure is suggested for recovery of interior eigenvalues by these data.
Acknowledgements
The authors are thankful to Rakesh, D. Colton and A. Lechleiter for useful discussions.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications and the Portuguese Foundation for Science and Technology (“FCT–Fundção para a Ciência e a Tecnologia”), within project [PEst-OE/MAT/UI4106/2014]; partially supported by the NSF [grant number DMS-1410547].