Identification of Lame coefficients from boundary observations
- 1 June 1991
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 7 (3) , 335-354
- https://doi.org/10.1088/0266-5611/7/3/003
Abstract
The authors give an inversion formula for the normal derivatives at the boundary of the Lame coefficients lambda , mu of an isotropic elastic equation from the symbols of its Dirichlet-to-Neumann map. At the same time they give stability estimates for the boundary values of lambda , mu from the Dirichlet-to-Neumann map.Keywords
This publication has 6 references indexed in Scilit:
- Inversion Formulas for the Linearized Problem for an Inverse Boundary Value Problem in Elastic ProspectionSIAM Journal on Applied Mathematics, 1990
- An anisotropic inverse boundary value problemCommunications on Pure and Applied Mathematics, 1990
- Inverse boundary value problems at the boundary—continuous dependenceCommunications on Pure and Applied Mathematics, 1988
- A Global Uniqueness Theorem for an Inverse Boundary Value ProblemAnnals of Mathematics, 1987
- Determining conductivity by boundary measurements II. Interior resultsCommunications on Pure and Applied Mathematics, 1985
- Determining conductivity by boundary measurementsCommunications on Pure and Applied Mathematics, 1984