Realization of source conditions for linear ill-posed problems by conditional stability

Description

We prove some sufficient conditions for obtaining convergence rates in regularization
of linear ill-posed problems in a Hilbert space setting and show that these
conditions are directly related with the conditional stability in several concrete inverse
problems for partial differential equations.

Links & Downloads

1. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800558
2. urn:nbn:de:bsz:ch1-200800558
3. http://www.qucosa.de/fileadmin/data/qucosa/documents/5575/data/t_06_ho_ya.pdf
4. http://www.qucosa.de/fileadmin/data/qucosa/documents/5575/20080055.txt

Tags

Löwner's theorem

conditional stability

inverse PDE problems

linear ill-posed problems

operator monotonicity

regularization

source conditions

ddc:510

Inverser Operator

Inverses Problem

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:ch1-200800558
Date	19 May 2008
Creators	Hofmann, Bernd, Yamamoto, Masahiro
Contributors	TU Chemnitz, Fakultät für Mathematik
Publisher	Universitätsbibliothek Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:conferenceObject
Format	application/pdf, text/plain, application/zip
Relation	dcterms:isPartOfhttp://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800505