2005•Journal of Inverse and Ill-Posed ProblemsRequires access
Regularization of ill-posed problems in Sobolev space W11
A. S. Leonov
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Abstract
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.