On uniqueness in the general inverse transmisson problem

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dc.contributor.author Isakov, Victor, 1947-
dc.date.accessioned 2012-11-06T21:30:37Z
dc.date.available 2012-11-06T21:30:37Z
dc.date.issued 2008-06-01
dc.identifier.citation Isakov, V. (2008). "On Uniqueness in the General Inverse Transmission Problem." Communications in Mathematical Physics 280(3): 843-858. en_US
dc.identifier.issn 0010-3616
dc.identifier.issn 1432-0916
dc.identifier.uri http://dx.doi.org/10.1007/s00220-008-0485-6
dc.identifier.uri http://hdl.handle.net/10057/5345
dc.description Click on the DOI link to access the article (may not be free) en_US
dc.description.abstract In 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.iso en_US en_US
dc.publisher Springer-Verlag en_US
dc.relation.ispartofseries Communications in Mathematical Physics;v.280 no.3
dc.title On uniqueness in the general inverse transmisson problem en_US
dc.type Article en_US
dc.description.version Peer reviewed
dc.rights.holder Copyright © 2008, Springer Berlin / Heidelberg

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