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dc.contributor.authorIsakov, Victor
dc.date.accessioned2013-07-23T15:53:36Z
dc.date.available2013-07-23T15:53:36Z
dc.date.issued2008-02
dc.identifier.citationIsakov, Victor. 2007. On uniqueness of obstacles and boundary conditions from restricted dynamical and scattering data. Inverse Problems and Imaging.en_US
dc.identifier.issn1930-8337
dc.identifier.issn1930-8345
dc.identifier.urihttp://hdl.handle.net/10057/6022
dc.identifier.urihttp://dx.doi.org/10.3934/ipi.2008.2.151
dc.identifier.urihttp://www.math.wichita.edu/~isakov/domain.pdf
dc.descriptionClick on the DOI link to access the article (may not be free)en_US
dc.description.abstractWe show uniqueness of a (time independent) domain D and of an impedance type boundary condition from either dynamical or scattering data at many frequencies. We assume that the additonal boundary (scattering) data are given for one set of boundary data or for one incident direction. In case of general domain and finite (sharp) observation time we assume Neumann boundary condition on ∂D and for polygonal D we can handle more general case. If the data are available for all times we show uniqueness of the most general impedance boundary condition by using continuation of the corresponding scattering data into complex domain and modifying the Schiffer’s argument.en_US
dc.language.isoen_USen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.ispartofseriesInverse Problems and Imaging;v.2 no.1
dc.subjectInverse Problems
dc.subjectInverse Scattering Problems
dc.titleOn uniqueness of obstacles and boundary conditions from restricted dynamical and scattering dataen_US
dc.typeArticleen_US
dc.description.versionPeer reviewed
dc.rights.holderCopyright 2008 American Institute of Mathematical Sciences


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