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SUMMARY:Variational Methods for the Solution of Inverse Problems - Otmar S
 cherzer\, University of Vienna
DTSTART:20111110T161500Z
DTEND:20111110T171500Z
UID:TALK32661@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:In the talk we give an overview on variational regularization 
 methods in Banach spaces. The theory is developed based on the classical t
 heory of regularization methods in Hilbert spaces. An essential ingredient
  of such are source conditions\, which will be generalized to the Banach s
 paces setting.\nAfter that the example of sparsity regularization\, which 
 has proven to be a powerful tool in imaging\, will be analyzed in this fra
 mework. One of the powerful results proven by Candes et al is a linear con
 vergence rate result. Such a result can be obtained (even in an infinite 
 dimensional setting) from variational regularization theory in Banach spac
 es as well.\nFinally we present some applications to Radar imaging\, and\,
  if time allows\, to Photoacoustic Imaging.\nThis is joint work with M. Gr
 asmair\, M. Haltmeier\, C. Poschl and E. Resmerita.
LOCATION:MR13\, CMS
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