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((μD(δijδrs+δirδjs)+λDδirδjs)Djus)=0in Ω,where μD=μχD+μχRn\Dand λD=λχD+λχRn\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 language | English |
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Pages (from-to) | 514-531 |
Number of pages | 18 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 215 |
Issue number | 2 |
DOIs | |
Publication status | Published - 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