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

No Thumbnail Available
Issue Date
2022-04-08
Authors
Thompson, Nathan L.
Bukhgeym, Alexander L.
Advisor
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.

Table of Content
Description
Click on the DOI to access this article (may not be free).
publication.page.dc.relation.uri