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dc.contributor.authorEntekhabi, Mozhgan (Nora)
dc.contributor.authorIsakov, Victor
dc.identifier.citationMozhgan Entekhabi and Victor Isakov. 2020. Increasing Stability in Acoustic and Elastic Inverse Source Problems. SIAM Journal on Mathematical Analysis 2020 52:5, 5232-5256en_US
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractWe study increasing stability in the inverse scattering source problem for the Helmholtz equation and the classical Lamé system in the three dimensional space from boundary data at multiple wave numbers. As additional data for source identification we use pressure or displacement at the boundary of the reference domain which are natural and minimal data. By using the Fourier transform with respect to the wave numbers, explicit bounds for analytic continuation, Huygens principle, and sharp bounds for initial boundary value problems, increasing (with larger wave number intervals) stability estimates are obtained.en_US
dc.description.sponsorshipPartially supported by the Emylou Keith and Betty Dutcher Distinguished Professorship and the National Science Foundation grant DMS 15-14886.en_US
dc.publisherSIAM Publen_US
dc.relation.ispartofseriesSIAM Journal on Mathematical Analysis;v.52:no.5
dc.subjectElasticity theoryen_US
dc.subjectInverse problemsen_US
dc.titleIncreasing stability in acoustic and elastic inverse source problemsen_US
dc.rights.holder© 2020 Society for Industrial and Applied Mathematicsen_US

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