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An inverse problem for the dynamical Lamé system with two sets of boundary data
Author(s) -
Imanuvilov Oleg,
Isakov Victor,
Yamamoto Masahiro
Publication year - 2003
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.10097
Subject(s) - mathematics , sobolev space , uniqueness , mathematical proof , elasticity (physics) , isotropy , type (biology) , mathematical analysis , stability (learning theory) , boundary (topology) , inverse , inverse problem , dynamical systems theory , pure mathematics , geometry , computer science , ecology , materials science , physics , quantum mechanics , machine learning , composite material , biology
We prove uniqueness and a Hölder‐type stability of reconstruction of all three time‐independent elastic parameters in the dynamical isotropic system of elasticity from two special sets of boundary measurements. In proofs we use Carleman‐type estimates in Sobolev spaces of negative order. © 2003 Wiley Periodicals, Inc.