A Born approximation from backscattering data for live loads in Lamé system
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Publication:2633992
DOI10.4171/RMI/875zbMath1334.35418OpenAlexW2216269565MaRDI QIDQ2633992
Alberto Ruiz, Salvador Pérez-Esteva, Magali Folch-Gabayet, Maricruz Vilela, Juan Antonio Barceló
Publication date: 5 February 2016
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rmi/875
Classical linear elasticity (74B05) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74) Harmonic analysis and PDEs (42B37)
Related Items (5)
Live load matrix recovery from scattering data in linear elasticity ⋮ Recovery of the singularities of a potential from backscattering data in general dimension ⋮ The double dispersion operator in backscattering: Hölder estimates and optimal Sobolev estimates for radial potentials ⋮ Eigenvalue bounds and spectral stability of Lamé operators with complex potentials ⋮ Numerical approximation of the scattering amplitude in elasticity
Cites Work
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- Inverse backscattering for the Schrödinger equation in 2D
- Recovery of Singularities of a Multidimensional Scattering Potential
- Partial Recovery of a Potential from Backscattering Data
- Limiting absorption principles for the Navier equation in elasticity
- Eigenfunction expansions associated with the Schrödinger operator with a complex potential and the scattering theory
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