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    On increasing stability in the two dimensional inverse source scattering problem with many frequencies

    Date
    2018-03-29
    Author
    Entekhabi, Mozhgan (Nora)
    Isakov, Victor
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    Citation
    Entekhabi, 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. 5
    Abstract
    In 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.
    Description
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    URI
    http://dx.doi.org/10.1088/1361-6420/aab465
    http://hdl.handle.net/10057/15171
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