Sensitivity analysis of wave-equation tomography: a multi-scale approach

DOI10.1007/s00041-009-9113-xzbMath1200.35180OpenAlexW2116825464MaRDI QIDQ992030

Valeriy Brytik, Maarten V. de Hoop, Mikko Salo

Publication date: 8 September 2010

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-009-9113-x

zbMATH Keywords

harmonic analysisFréchet derivativefirst-order perturbationfinite-frequency travel timewavespeed contrastwavespeed model

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Inverse problems for PDEs (35R30) Wave equation (35L05) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for second-order hyperbolic equations (35L15) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

Related Items (4)

Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations ⋮ Acoustic inverse scattering via Helmholtz operator factorization and optimization ⋮ Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations with limited smoothness ⋮ Wave Phenomena

Uses Software

• DT-CWT

Cites Work

• Seismic inverse scattering in the downward continuation approach
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• Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III
• Spectral cluster estimates for C 1,1 metrics
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
• Newton polygons as lattice points
• Image processing with complex wavelets
• Microlocal analysis of seismic inverse scattering in anisotropic elastic media
• Complex wavelets for shift invariant analysis and filtering of signals
• Microlocal analysis of a seismic linearized inverse problem.

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