INVERSE BOUNDARY VALUE PROBLEMS FOR POLYHARMONIC OPERATORS WITH NON-SMOOTH COEFFICIENTS

R. M. Brown, L. D. Gauthier

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We consider inverse boundary value problems for polyharmonic operators and in particular, the problem of recovering the coefficients of terms up to order one. The main interest of our result is that it further relaxes the regularity required to establish uniqueness. The proof relies on an averaging technique introduced by Haberman and Tataru for the study of an inverse boundary value problem for a second order operator.

Original languageEnglish
Pages (from-to)943-966
Number of pages24
JournalInverse Problems and Imaging
Volume16
Issue number4
DOIs
StatePublished - Aug 2022

Bibliographical note

Publisher Copyright:
© 2022, American Institute of Mathematical Sciences. All rights reserved.

Keywords

  • Non-smooth coefficients
  • Polyharmonic operator
  • and phrases. Inverse problem

ASJC Scopus subject areas

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

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