Regularizability of ill-posed problems and the modulus of continuity

DOI10.4171/ZAA/1486zbMath1288.47015OpenAlexW2055815477MaRDI QIDQ360705

Radu Ioan Boţ, Peter Mathé, Bernd Hofmann

Publication date: 27 August 2013

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1486

zbMATH Keywords

conditional stabilitymodulus of continuitylinear ill-posed problems

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (4)

Complexity of linear ill-posed problems in Hilbert space ⋮ The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator ⋮ On ill-posedness concepts, stable solvability and saturation ⋮ The index function and Tikhonov regularization for ill-posed problems

Cites Work

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• Theory of linear ill-posed problems and its applications. Transl., updated and revised from the Russian edition 1978
• Sharp converse results for the regularization error using distance functions
• Modulus of continuity for conditionally stable ill-posed problems in Hilbert space
• Optimality for ill-posed problems under general source conditions
• Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation
• The approximate solution of operator equations of the first kind

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