Title

On Weakly Bounded Noise In Ill-Posed Problems

Abstract

We study compact operator equations with noisy data in Hilbert space. Instead of assuming that the error in the data converges strongly to zero, we only assume a type of weak convergence. Under the source conditions that are usually assumed in the presence of convex constraints, we derive optimal convergence rates for convexly constrained Phillips-Tikhonov regularization. We also discuss a version of the Lepskii method for selecting the regularization parameter. © 2009 IOP Publishing Ltd.

Publication Date

11-26-2009

Publication Title

Inverse Problems

Volume

25

Issue

11

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0266-5611/25/11/115018

Socpus ID

70450202718 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/70450202718

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