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. urn:nbn:de:bsz:ch1-200800558
2. https://monarch.qucosa.de/id/qucosa%3A18901
3. https://monarch.qucosa.de/api/qucosa%3A18901/attachment/ATT-0/
4. https://monarch.qucosa.de/api/qucosa%3A18901/attachment/ATT-1/

Tags

info:eu-repo/classification/ddc/510

ddc:510

Inverser Operator

Inverses Problem

Löwner's theorem

conditional stability

inverse PDE problems

linear ill-posed problems

operator monotonicity

regularization

source conditions

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18901
Date	19 May 2008
Creators	Hofmann, Bernd, Yamamoto, Masahiro
Publisher	Technische Universität Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:conferenceObject, info:eu-repo/semantics/conferenceObject, doc-type:Text
Rights	info:eu-repo/semantics/openAccess
Relation	urn:nbn:de:bsz:ch1-200800505, qucosa:18897