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dc.contributor.authorThompson, Nathan L.
dc.contributor.authorBukhgeym, Alexander L.
dc.date.accessioned2022-05-16T15:11:30Z
dc.date.available2022-05-16T15:11:30Z
dc.date.issued2022-04-08
dc.identifier.citationThompson, 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
dc.identifier.issn1569-3945
dc.identifier.urihttps://doi.org/10.1515/jiip-2021-0001
dc.identifier.urihttps://soar.wichita.edu/handle/10057/23323
dc.descriptionClick on the DOI to access this article (may not be free).
dc.description.abstractMotivated 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.
dc.language.isoen_US
dc.publisherDe Gruyter Open Ltd
dc.relation.ispartofseriesJournal of Inverse and Ill-Posed Problems
dc.subjectScalar and vector tomography
dc.subjectHelioseismology
dc.subjectPolynomial weight
dc.subjectCarleman estimate
dc.titleScalar and vector tomography for the weighted transport equation with application to helioseismology
dc.typeArticle
dc.rights.holder© 2022 Walter de Gruyter GmbH, Berlin/Boston


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