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    Increasing stability in the inverse source problem with many frequencies

    Date
    2016-03-05
    Author
    Cheng, Jin
    Isakov, Victor
    Lu, Shuai
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    Citation
    Jin Cheng, Victor Isakov, Shuai Lu, Increasing stability in the inverse source problem with many frequencies, Journal of Differential Equations, Volume 260, Issue 5, 5 March 2016, Pages 4786-4804
    Abstract
    We study increasing stability in the interior inverse source problem for the Helmholtz equation from boundary Cauchy data for multiple wave numbers. By using the Fourier transform with respect to the wave number, explicit bounds for the analytic continuation, uniqueness of the continuation results, and exact observability bounds for the wave equation, a sharp uniqueness result and an increasing (with larger wave numbers intervals) stability estimate are obtained. Numerical examples in 3 spatial dimension support the theoretical prediction. (C) 2015 Elsevier Inc. All rights reserved.
    Description
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    URI
    http://dx.doi.org/10.1016/j.jde.2015.11.030
    http://hdl.handle.net/10057/11961
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