Florence Research (University of Florence) · 2014 · 35 citations · 33 references
Natural SciencesMathematicsFluid DynamicsSolid MechanicsBoundary ConditionsBoundary LayersBoundary-value ProblemsMoving Boundary ProblemsUniqueness TheoryWeak FormulationBoundary Condition IdentificationElasticity ProblemsElliptic Boundary-value ProblemsLipschitz ConditionsLipschitz ContinuityNeumann Boundary Conditions
In this paper we consider the problem of determining an unknown pair λ, μ of piecewise constant Lam\'{e} 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.
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