Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime

DOI10.1088/1361-6420/ac11c5zbMath1486.65149OpenAlexW3148005738MaRDI QIDQ5002573

Andreas Rieder, Matthias M. Eller

Publication date: 28 July 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://publikationen.bibliothek.kit.edu/1000137071/125311819

zbMATH Keywords

acoustic wave equationLipschitz stabilitytangential cone conditionfull waveform seismic inversion

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Linear operators and ill-posed problems, regularization (47A52) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) PDEs in connection with geophysics (35Q86)

Related Items (2)

On the iterative regularization of non-linear illposed problems in \(L^{\infty}\) ⋮ Tangential Cone Condition for the Full Waveform Forward Operator in the Viscoelastic Regime: The Nonlocal Case

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