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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year

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Regularization of ill-posed problems in Sobolev space W11

A. S. Leonov

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Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 13, Issue 6, Pages 595–619, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939405775199505,

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The problem of regularization of ill-posed problems in the Sobolev space W 1 1 is considered in the paper. Classes of regularizing functionals are described which provide strong convergence in this space when a variational approach is used for solving the ill-posed problems. This convergence in turn implies the convergence of approximate solutions in variation of functions of several variables.

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