Reconstruction of smooth and discontinuous components of solutions to linear ill-posed problems

DOI10.1134/S1064562413010146zbMath1267.49032OpenAlexW2020341060MaRDI QIDQ352191

Vladimir V. Vasin

Publication date: 4 July 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413010146

zbMATH Keywords

Tikhonov regularizationlinear ill-posed problemsreconstructionsmooth/discontinuous components

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Linear operators and ill-posed problems, regularization (47A52)

Related Items (3)

Approximation of solution components for ill-posed problems by the Tikhonov method with total variation ⋮ Approximation of solutions with singularities of various types for linear ill-posed problems ⋮ Separate reconstruction of solution components with singularities of various types for linear operator equations of the first kind

Cites Work

• Unnamed Item
• Analysis of bounded variation penalty methods for ill-posed problems
• Tikhonov regularization with nondifferentiable stabilizing functionals
• Stable signal recovery from incomplete and inaccurate measurements

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