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Uniqueness for the determination of sound-soft defects in an inhomogeneous planar medium by acoustic boundary measurements

RONDI, LUCA
2003
  • journal article

Periodico
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Abstract
We consider the inverse problem of determining shape and location of sound-soft defects inside a known planar inhomogeneous and anisotropic medium through acoustic imaging at low frequency. In order to determine the defects, we perform acoustic boundary measurements, with prescribed boundary conditions of different types. We prove that at most two, suitably chosen, measurements allow us to uniquely determine multiple defects under minimal regularity assumptions on the defects and the medium containing them. Finally, we treat applications of these results to the case of inverse scattering.
WOS
WOS:000178312900013
SCOPUS
2-s2.0-0037237289
Archivio
http://hdl.handle.net/11368/1699993
http://dx.doi.org/10.1090/S0002-9947-02-03105-7
Diritti
metadata only access
Soggetti
  • inverse problems, uni...

Visualizzazioni
3
Data di acquisizione
Apr 19, 2024
Vedi dettagli
google-scholar
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