Local recovery of the compressional and shear speeds from the hyperbolic DN map
From MaRDI portal
Publication:4607799
DOI10.1088/1361-6420/aa9833OpenAlexW3106499638MaRDI QIDQ4607799
Gunther Uhlmann, András Vasy, Plamen D. Stefanov
Publication date: 14 March 2018
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.08141
Related Items (13)
The first 100 years of the Radon transform ⋮ Recovery of Piecewise Smooth Density and Lamé Parameters from High Frequency Exterior Cauchy Data ⋮ Unique continuation and inverse problem for an anisotropic beam bending equation ⋮ Inverse problems for nonlinear hyperbolic equations ⋮ On an inverse boundary value problem for a nonlinear elastic wave equation ⋮ Microlocal analysis of imaging operators for effective common offset seismic reconstruction ⋮ Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity ⋮ Unique Recovery of Piecewise Analytic Density and Stiffness Tensor from the Elastic-Wave Dirichlet-To-Neumann Map ⋮ The transmission problem in linear isotropic elasticity ⋮ Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge ⋮ Unique determination of sound speeds for coupled systems of semi-linear wave equations ⋮ Recovery of discontinuous Lamé parameters from exterior Cauchy data ⋮ Generic uniqueness and stability for the mixed ray transform
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the stable recovery of a metric from the hyperbolic DN map with incomplete data
- Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map
- On the propagation of polarization sets for systems of real principal type
- Propagation of polarization in elastodynamics with residual stress and travel times
- An inverse problem in elastodynamics: Uniqueness of the wave speeds in the interior
- Quantitative unique continuation for operators with partially analytic coefficients. Application to approximate control for waves
- Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge
- The inverse problem for the local geodesic ray transform
- Boundary rigidity with partial data
- Numerical Implementation of Geodesic X-Ray Transforms and Their Inversion
- Sensitivity analysis of an inverse problem for the wave equation with caustics
- Identifying Lamé parameters from time-dependent elastic wave measurements
- Dynamical inverse problem for a Lamé type system
- To the reconstruction of a riemannian manifold via its spectral data (Bc–Method)
- Uniqueness of the density in an inverse problem for isotropic elastodynamics
- Boundary determination for an inverse problem in elastodynamics
- Lower bound of the number of the Rayleigh resonances for arbitrary body
- Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
- Stable Determination of a Simple Metric, a Covector Field and a Potential from the Hyperbolic Dirichlet-to-Neumann Map
- Recent progress in the boundary control method
- Stability of the unique continuation for the wave operator via Tataru inequality and applications
This page was built for publication: Local recovery of the compressional and shear speeds from the hyperbolic DN map