Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: The case of non-flat interfaces

Elena Beretta, Elisa Francini, Antonino Morassi, Edi Rosset, Sergio Vessella

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Abstract

We consider the inverse problem of determining the Lamé moduli for a piecewise constant elasticity tensor = ∑j j?Dj, where {Dj} is a known finite partition of the body ω, from the Dirichlet-to-Neumann map. We prove that Lipschitz stability estimates can be derived under C1,?regularity assumptions on the interfaces.

Original languageEnglish (US)
Article number125005
JournalInverse Problems
Volume30
Issue number12
DOIs
Publication statusPublished - Dec 1 2014

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Keywords

  • inverse boundary value problem
  • Lamé system
  • Lipschitz stability 1. Introduction
  • piecewise constant coefficients

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

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