Identification problems in linear elasticity

Hyunseok Kim, Jin Keun Seo

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Let Ω be a bounded domain inRnwithC2-boundary and letDbe a Lipschitz domain withD⊂Ω. We consider the inverse problem (determiningD) to the system of linear elasticityDi((μDijδrsirδjs)+λDδirδjs)Djus)=0in Ω,where μDχDχRn\Dand λDχDχRn\D. Under the condition on the Lamè constants (λ-λ)(μ-μ)≥0, we show thatDis uniquely determined by the complete knowledge of the Dirichlet-to-Neumann map. We also obtain an uniqueness result for the monotone case from one boundary measurement.

Original languageEnglish
Pages (from-to)514-531
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Volume215
Issue number2
DOIs
Publication statusPublished - 1997 Nov 15

Bibliographical note

Funding Information:
We thank the referee for several comments. The second author is supported in part by GARC-KOSEF, BSRI96-0701-04-01-3, and IMS at Yonsei University.

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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