The Tangential Cone Condition for Some Coefficient Identification Model Problems in Parabolic PDEs

DOI10.1007/978-3-030-57784-1_5zbMath1487.35343arXiv1908.01239OpenAlexW2965676934MaRDI QIDQ3379559

Barbara Kaltenbacher, Tram Thi Ngoc Nguyen, Otmar Scherzer

Publication date: 27 September 2021

Published in: Time-dependent Problems in Imaging and Parameter Identification (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01239

zbMATH Keywords

inverse source problemill-posed

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) KdV equations (Korteweg-de Vries equations) (35Q53) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Numerical solution to inverse problems in abstract spaces (65J22) Semilinear parabolic equations (35K58) Ginzburg-Landau equations (35Q56) Inverse problems in dynamical solid mechanics (74H75)

Related Items (9)

Consistency of Bayesian inference with Gaussian process priors for a parabolic inverse problem ⋮ Parameter identification for elliptic boundary value problems: an abstract framework and applications ⋮ Learning-informed parameter identification in nonlinear time-dependent PDEs ⋮ A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration ⋮ 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 ⋮ Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime ⋮ A model reference adaptive system approach for nonlinear online parameter identification ⋮ Levenberg-Marquardt method for solving inverse problem of MRE based on the modified stationary Stokes system

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