The paradigm is: given the existence of density φ, i.e., compliance with a number of conditions, prove the uniqueness of φ from hyperbolic Dirichlet-to-Neumann-type data. Detailed work is shown in all instances. These uniqueness results are of great relevance to inverse elasticity and strongly motivate the search for the corresponding existence and stability properties of the solution
Crosta, G. (2005). Mathematical Review: MR1997584 (2005c:35296) Rachele, Lizabeth V. Uniqueness of the density in an inverse problem for isotropic elastodynamics. MATHEMATICAL REVIEWS.
Mathematical Review: MR1997584 (2005c:35296) Rachele, Lizabeth V. Uniqueness of the density in an inverse problem for isotropic elastodynamics.
CROSTA, GIOVANNI FRANCO FILIPPO
2005
Abstract
The paradigm is: given the existence of density φ, i.e., compliance with a number of conditions, prove the uniqueness of φ from hyperbolic Dirichlet-to-Neumann-type data. Detailed work is shown in all instances. These uniqueness results are of great relevance to inverse elasticity and strongly motivate the search for the corresponding existence and stability properties of the solution
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