Regularization in Hilbert space under unbounded operators and general source conditions

DOI10.1088/0266-5611/25/11/115013zbMath1178.47006OpenAlexW2032462601MaRDI QIDQ3652580

Peter Mathé, Bernd Hofmann, Heinrich von Weizsäcker

Publication date: 18 December 2009

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

Full work available at URL: https://semanticscholar.org/paper/c1f4854f2d57fb1a1e3b2a5d48df376195797969

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (8)

Solution smoothness of ill-posed equations in Hilbert spaces: four concepts and their cross connections ⋮ Regularization of linear ill-posed problems involving multiplication operators ⋮ Local convergence of the Lavrentiev method for the Cauchy problem via a Carleman inequality ⋮ Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term ⋮ Moment discretization for ill-posed problems with discrete weakly bounded noise ⋮ Regularization of inverse problems by filtered diagonal frame decomposition ⋮ Regularization methods for unbounded linear operators ⋮ Conjugate gradient regularization under general smoothness and noise assumptions

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