Stability estimates for the Radon transform with restricted data and applications
Analysis of PDEs
2012-12-17 v2 Classical Analysis and ODEs
Abstract
In this article, we prove a stability estimate going from the Radon transform of a function with limited angle-distance data to the norm of the function itself, under some conditions on the support of the function. We apply this theorem to obtain stability estimates for an inverse boundary value problem with partial data.
Cite
@article{arxiv.1211.1887,
title = {Stability estimates for the Radon transform with restricted data and applications},
author = {Pedro Caro and David Dos Santos Ferreira and Alberto Ruiz},
journal= {arXiv preprint arXiv:1211.1887},
year = {2012}
}
Comments
37 pages