Uniqueness and lipschitz stability for the identification of Lamé parameters from boundary measurements

Elena Beretta, Elisa Francini, Sergio Vessella

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we consider the problem of determining an unknown pair λ, μ of piecewise constant Lamé parameters inside a three dimensional body from the Dirichlet to Neumann map. We prove uniqueness and Lipschitz continuous dependence of λ and μ from the Dirichlet to Neumann map.

Original languageEnglish (US)
Pages (from-to)611-644
Number of pages34
JournalInverse Problems and Imaging
Volume8
Issue number3
DOIs
StatePublished - 2014

Keywords

  • Inverse boundary value problem
  • Lamé System
  • Lipschitz continuous dependence
  • Piecewise constant coefficients

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation
  • Discrete Mathematics and Combinatorics
  • Control and Optimization

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