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dc.contributor.authorEntekhabi, Mozhgan (Nora)
dc.contributor.authorIsakov, Victor, 1947-
dc.identifier.citationEntekhabi, Mozhgan (Nora); Isakov, Victor, 1947-. 2018. On increasing stability in the two dimensional inverse source scattering problem with many frequencies. Inverse Problems, vol. 34:no. 5en_US
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractIn this paper, we will study the increasing stability in the inverse source problem for the Helmholtz equation in the plane when the source term is assumed to be compactly supported in a bounded domain O with a sufficiently smooth boundary. Using the Fourier transform in the frequency domain, bounds for the Hankel functions and for scattering solutions in the complex plane, improving bounds for the analytic continuation, and the exact observability for the wave equation led us to our goals which are a sharp uniqueness and increasing stability estimate when the wave number interval is growing.en_US
dc.description.sponsorshipEmylou Keith and Betty Dutcher Distinguished Professorship and the NSF grant DMS 15-14886.en_US
dc.publisherIOP Publishingen_US
dc.relation.ispartofseriesInverse Problems;v.34:no.5
dc.subjectInverse scattering problemsen_US
dc.subjectInverse source problemsen_US
dc.subjectAnalytic continuationen_US
dc.subjectBoundary controlen_US
dc.titleOn increasing stability in the two dimensional inverse source scattering problem with many frequenciesen_US
dc.rights.holder© IOP PUBLISHING, LTDen_US

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