On uniqueness in the inverse problem for transversely isotropic elastic media with a disjoint wave mode
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Publication:661565
DOI10.1016/j.wavemoti.2007.03.004zbMath1231.35309OpenAlexW2097470390MaRDI QIDQ661565
Lizabeth V. Rachele, Anna L. Mazzucato
Publication date: 11 February 2012
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2007.03.004
elastodynamicsparameter identificationtransverse isotropymicrolocal analysisDirichlet-to-Neumann mappropagation of singularitiesellipsoidal slowness surface
Inverse problems for PDEs (35R30) Wave equation (35L05) Inverse problems for waves in solid mechanics (74J25) PDEs in connection with mechanics of deformable solids (35Q74) Singularity in context of PDEs (35A21)
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Cites Work
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- Parametrices for symmetric systems with multiplicity
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- Filling Riemannian manifolds
- Rigidity for metrics with the same lengths of geodesics
- A problem of reconstructing a Riemannian metric
- Sojourn times and asymptotic properties of the scattering matrix
- Determining residual stress from boundary measurements: A linearized approach
- Normal forms of real symmetric systems with multiplicity
- Semiglobal boundary rigidity for Riemannian metrics
- Propagation of polarization in elastodynamics with residual stress and travel times
- Seismic rays as Finsler geodesics.
- An inverse problem in elastodynamics: Uniqueness of the wave speeds in the interior
- Partial differential equations. 2: Qualitative studies of linear equations
- Two dimensional compact simple Riemannian manifolds are boundary distance rigid
- Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media
- Radon Transforms and Tomography
- About the completeness of the classification of cases of elliptic anisotropy
- On Transversely Isotropic Elastic Media with Ellipsoidal Slowness Surfaces
- Propagation de la polarisation pour des problemes aux limites convexes pour les bicaracteristiques.
- On the propagation of singularities for pseudo-differential operators with characteristics of variable multiplicity
- Reflection of singularities of solutions to systems of differential equations
- Wave propagation in transversely isotropic elastic media - I. Homogeneous plane waves
- Global seismic tomography: the inverse problem and beyond
- On Smooth Decompositions of Matrices
- Layer Stripping for a Transversely Isotropic Elastic Medium
- Fundamental elastodynamic solutions for anisotropic media with ellipsoidal slowness surfaces
- Boundary identifiability of residual stress via the Dirichlet to Neumann map
- Hartig's law and linear elasticity with initial stress
- Uniqueness of the density in an inverse problem for isotropic elastodynamics
- Unique Continuation for an Elasticity System with Residual Stress and Its Applications
- Uniqueness in Inverse Problems for Elastic Media with Residual Stress
- Uniqueness in inverse problems for an elasticity system with residual stress by a single measurement
- Interior elastodynamics inverse problems: shear wave speed reconstruction in transient elastography
- Local boundary rigidity of a compact Riemannian manifold with curvature bounded above
- Boundary determination for an inverse problem in elastodynamics
- Microlocal analysis of seismic inverse scattering in anisotropic elastic media
- A Note on Strong Ellipticity for Transversely Isotropic Linearly Elastic Solids
- Strong unique continuation property for an elasticity system with residual stress
- Boundary rigidity and stability for generic simple metrics
- Recovery of residual stress in a vertically heterogeneous elastic medium
- CONDITIONS UNDER WHICH THE SLOWNESS SURFACE OF AN ANISOTROPIC ELASTIC MATERIAL IS THE UNION OF ALIGNED ELLIPSOIDS
