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dc.contributor.authorIsakov, Victor, 1947-
dc.date.accessioned2012-11-06T21:30:37Z
dc.date.available2012-11-06T21:30:37Z
dc.date.issued2008-06-01
dc.identifier.citationIsakov, V. (2008). "On Uniqueness in the General Inverse Transmission Problem." Communications in Mathematical Physics 280(3): 843-858.en_US
dc.identifier.issn0010-3616
dc.identifier.issn1432-0916
dc.identifier.urihttp://dx.doi.org/10.1007/s00220-008-0485-6
dc.identifier.urihttp://hdl.handle.net/10057/5345
dc.descriptionClick on the DOI link to access the article (may not be free)en_US
dc.description.abstractIn this paper we demonstrate uniqueness of a transparent obstacle, of coefficients of rather general boundary transmission condition, and of a potential coefficient inside obstacle from partial Dirichlet-to Neumann map or from complete scattering data at fixed frequency. The proposed transmission problem includes in particular the isotropic elliptic equation with discontinuous conductivity coefficient. Uniqueness results are shown to be optimal. Hence the considered form can be viewed as a canonical form of isotropic elliptic transmission problems. Proofs use singular solutions of elliptic equations and complex geometrical optics. Determining an obstacle and boundary conditions (i.e. reflecting and transmitting properties of its boundary and interior) is of interest for acoustical and electromagnetic inverse scattering, for modeling fluid/structure interaction, and for defects detection.en_US
dc.language.isoen_USen_US
dc.publisherSpringer-Verlagen_US
dc.relation.ispartofseriesCommunications in Mathematical Physics;v.280 no.3
dc.subjectPHYSICS AND ASTRONOMYen_US
dc.titleOn uniqueness in the general inverse transmisson problemen_US
dc.typeArticleen_US
dc.description.versionPeer reviewed
dc.rights.holderCopyright © 2008, Springer Berlin / Heidelberg


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