On a class of severely ill-posed problems

zbMath1082.47044MaRDI QIDQ817114

Dihn Nho Hào, Hichem Sahli

Publication date: 7 March 2006

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

pseudodifferential operatorexact valueerror estimates of Hölder typeregularized valueseverely ill-posed problem

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Linear operators and ill-posed problems, regularization (47A52) Pseudodifferential operators (47G30)

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Regularization of ill-posed problems involving constant-coefficient pseudo-differential operators ⋮ A modified iterative regularization method for ill-posed problems ⋮ Numerical pseudodifferential operator and Fourier regularization ⋮ A \textit{a posteriori} regularization for the Cauchy problem for the Helmholtz equation with inhomogeneous Neumann data ⋮ A regularization framework for mildly ill-posed problems connected with pseudo-differential operator ⋮ Wavelets and numerical pseudodifferential operator ⋮ An a posteriori wavelet method for solving two kinds of ill-posed problems

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