Integral geometry and unique continuation principles
Analysis of PDEs
2021-07-13 v1 Differential Geometry
Functional Analysis
Abstract
This is the introductory part of my PhD thesis on inverse problems arising in medical and seismic imaging. The topics include X-ray tomography of scalar and vector fields with partial data, higher order fractional Calder\'on problems, travel time tomography on Riemannian and Finsler manifolds, and unique continuation of fractional Laplacians. The thesis additionally includes these articles: arXiv:1909.05585, arXiv:2001.06210, arXiv:2006.05790, arXiv:2008.10227, arXiv:2009.01043, arXiv:2010.11484, arXiv:2103.14385.
Cite
@article{arxiv.2107.02615,
title = {Integral geometry and unique continuation principles},
author = {Keijo Mönkkönen},
journal= {arXiv preprint arXiv:2107.02615},
year = {2021}
}
Comments
42 pages, 4 figures