Inverse Problems for Abstract Evolution Equations II: Higher Order Differentiability for Viscoelasticity

DOI10.1137/19M1269403zbMath1427.35361WikidataQ126559659 ScholiaQ126559659MaRDI QIDQ5206165

Andreas Kirsch, Andreas Rieder

Publication date: 18 December 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

viscoelastic wave equationadjoint state methodhigher order Fréchet derivativefull waveform seismic inversionnonlinear inverse and ill-posed problem

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Initial value problems for linear first-order PDEs (35F10)

Related Items

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, Visco-acoustic full waveform inversion: from a DG forward solver to a Newton-CG inverse solver, Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime, Erratum: Inverse Problems for Abstract Evolution Equations II: Higher Order Differentiability for Viscoelasticity

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity
• Finite Element Methods for Maxwell's Equations
• A Second Degree Method for Nonlinear Inverse Problems
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