Stability estimates for the Radon transform with restricted data and applications

2012/11/08 by Pedro Caro, David Dos Santos Ferreira, Caro, Pedro +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Composite Material Mechanics #FOS: Mathematics #Numerical methods in inverse problems #math.AP #math.CA

paper · pdf · doi:10.48550/arxiv.1211.1887

37 pages

openalex publication_date 2012/11/08 · arxiv created 2012/12/14 · arxiv updated 2012/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we prove a stability estimate going from the Radon transform of a function with limited angle-distance data to the L^p 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.

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