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Stability estimates for the Radon transform with restricted data and applications

Authors
Journal
Advances in Mathematics
0001-8708
Publisher
Elsevier
Publication Date
Identifiers
DOI: 10.1016/j.aim.2014.08.009
Keywords
  • Radon Transform
  • Fourier Analysis
  • Inverse Problems
  • Stability Estimates
Disciplines
  • Mathematics

Abstract

Abstract In this article, we prove a stability estimate going from the Radon transform of a function with limited angle-distance data to the Lp 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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