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

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.

Bibliographic Details
Main Authors: Hofmann, Bernd, Yamamoto, Masahiro
Other Authors: TU Chemnitz, Fakultät für Mathematik
Format: Others
Language:English
Published: Universitätsbibliothek Chemnitz 2008
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800558
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800558
http://www.qucosa.de/fileadmin/data/qucosa/documents/5575/data/t_06_ho_ya.pdf
http://www.qucosa.de/fileadmin/data/qucosa/documents/5575/20080055.txt