STABILITY ESTIMATES FOR THE RADON TRANSFORM WITH RESTRICTED DATA AND APPLICATIONS

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STABILITY ESTIMATES FOR THE RADON TRANSFORM WITH RESTRICTED DATA AND APPLICATIONS

Authors
  • PEDRO CARO1
  • DAVID DOS SANTOS FERREIRA1
  • ALBERTO RUIZ1
Type
Preprint
Source
MyScienceWork
License
Unknown

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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