Multidimensional inverse problems in perturbed stratified media

DOI10.1006/jdeq.1998.3509zbMath0922.35184OpenAlexW1976597081MaRDI QIDQ1283892

Ricardo Weder

Publication date: 11 October 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3509

zbMATH Keywords

uniquenessspeed of propagation of acoustic waves

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Hydro- and aero-acoustics (76Q05)

Related Items (4)

Completeness of Averaged Scattering Solutions and Inverse Scattering at a Fixed Energy ⋮ Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations. ⋮ Inverse \(N\)-body scattering with the time-dependent Hartree-Fock approximation ⋮ Inverse scattering at fixed energy for layered media

Cites Work

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• Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\)
• Scattering theory for high order operators in domains with infinite boundary
• Reconstructions from boundary measurements
• Numerical solution of 3D inverse scattering problems with noisy discrete fixed-energy data
• Fixed energy inverse scattering for noncompactly supported potentials
• The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential
• Inverse scattering theory for wave equations in stratified media
• Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy
• Schrödinger semigroups
• The $ \bar\partial$-equation in the multidimensional inverse scattering problem
• Generalized limiting absorption method and multidimensional inverse scattering theory
• Global uniqueness at fixed energy in multidimensional inverse scattering theory
• The Propagation of a Pulse in the Atmosphere. Part II
• Recovery of the potential from fixed-energy scattering data
• Spectral and scattering theory for wave propagation in perturbed stratified media

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