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    Scalar and vector tomography for the weighted transport equation with application to helioseismology

    Date
    2022-04-08
    Author
    Thompson, Nathan L.
    Bukhgeym, Alexander L.
    Metadata
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    Citation
    Thompson, Nathan L. and Bukhgeim, Alexander L.. "Scalar and vector tomography for the weighted transport equation with application to helioseismology" Journal of Inverse and Ill-posed Problems, vol. , no. , 2022. https://doi.org/10.1515/jiip-2021-0001
    Abstract
    Motivated by the application to helioseismology, we demonstrate uniqueness and stability for a class of inverse problems of the weighted transport equation. Using A-analytic functions, this inverse problem is expressed as a Cauchy problem. In this form, we show that, for a finite even trigonometric polynomial weight function, the resulting system is well-conditioned numerically and permits a Carleman-like estimate with boundary terms.
    Description
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    URI
    https://doi.org/10.1515/jiip-2021-0001
    https://soar.wichita.edu/handle/10057/23323
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