Inverse problem for the Rayleigh system with spectral data

DOI10.1063/5.0055827OpenAlexW4220828074MaRDI QIDQ5883886

Maarten V. de Hoop, Alexei Iantchenko

Publication date: 17 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.03365

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Surface waves in solid mechanics (74J15) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse problems for waves in solid mechanics (74J25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

• Unnamed Item
• The determination of elastic parameters of a half-space using a monochromatic vibration field at the surface
• Global uniqueness for an inverse boundary problem arising in elasticity
• An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line
• On strong ellipticity and the Legendre-Hadamard condition
• Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
• Scattering and inverse scattering for first order systems
• Scattering and inverse scattering for first-order systems: II
• On the inverse boundary value problem for linear isotropic elasticity
• An Inverse Boundary Value Problem in Seismology
• The inverse boundary problem for the Rayleigh system
• Semiclassical inverse spectral problem for seismic surface waves in isotropic media: part II. Rayleigh waves
• Rayleigh surface waves in functionally graded materials — long-wave limit