Stability estimates in tensor tomography
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Publication:1785037
DOI10.3934/ipi.2018052zbMath1401.44002OpenAlexW2887530441MaRDI QIDQ1785037
Publication date: 27 September 2018
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2018052
Classical linear elasticity (74B05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Variational methods for second-order elliptic equations (35J20)
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Singular value decomposition for longitudinal, transverse and mixed ray transforms of 2D tensor fields ⋮ On mixed and transverse ray transforms on orientable surfaces ⋮ Inversion of generalized Radon transforms acting on 3D vector and symmetric tensor fields ⋮ Functional Relations, Sharp Mapping Properties, and Regularization of the X-Ray Transform on Disks of Constant Curvature ⋮ Scanning electron diffraction tomography of strain ⋮ A sharp stability estimate for tensor tomography in non-positive curvature ⋮ Sharp stability estimate for the geodesic ray transform ⋮ The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields ⋮ Histogram tomography
Cites Work
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- Integral geometry of tensor fields on a manifold of negative curvature
- Integral geometry for tensor fields. Transl. from the Russian
- Estimates for certain differential operators with finite-dimensional kernel
- On the boundary-value problems of the theory of elasticity and Korn's inequality
- Tomography of small residual stresses
- The Reshetnyak formula and Natterer stability estimates in tensor tomography
- Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
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