Characterization of Sobolev and BV Spaces

This work presents some new characterizations of Sobolev spaces and the space of functions of Bounded Variation. Additionally it gives new proofs of continuity and lower semicontinuity theorems due to Reshetnyak.

Bibliographic Details
Main Author:	Spector, Daniel
Format:	Others
Published:	Research Showcase @ CMU 2011
Subjects:	Mathematics
Online Access:	http://repository.cmu.edu/dissertations/78 http://repository.cmu.edu/cgi/viewcontent.cgi?article=1079&context=dissertations

id	ndltd-cmu.edu-oai-repository.cmu.edu-dissertations-1079
record_format	oai_dc
spelling	ndltd-cmu.edu-oai-repository.cmu.edu-dissertations-10792014-07-24T15:35:32Z Characterization of Sobolev and BV Spaces Spector, Daniel This work presents some new characterizations of Sobolev spaces and the space of functions of Bounded Variation. Additionally it gives new proofs of continuity and lower semicontinuity theorems due to Reshetnyak. 2011-01-01T08:00:00Z text application/pdf http://repository.cmu.edu/dissertations/78 http://repository.cmu.edu/cgi/viewcontent.cgi?article=1079&context=dissertations Dissertations Research Showcase @ CMU Mathematics
collection	NDLTD
format	Others
sources	NDLTD
topic	Mathematics
spellingShingle	Mathematics Spector, Daniel Characterization of Sobolev and BV Spaces
description	This work presents some new characterizations of Sobolev spaces and the space of functions of Bounded Variation. Additionally it gives new proofs of continuity and lower semicontinuity theorems due to Reshetnyak.
author	Spector, Daniel
author_facet	Spector, Daniel
author_sort	Spector, Daniel
title	Characterization of Sobolev and BV Spaces
title_short	Characterization of Sobolev and BV Spaces
title_full	Characterization of Sobolev and BV Spaces
title_fullStr	Characterization of Sobolev and BV Spaces
title_full_unstemmed	Characterization of Sobolev and BV Spaces
title_sort	characterization of sobolev and bv spaces
publisher	Research Showcase @ CMU
publishDate	2011
url	http://repository.cmu.edu/dissertations/78 http://repository.cmu.edu/cgi/viewcontent.cgi?article=1079&context=dissertations
work_keys_str_mv	AT spectordaniel characterizationofsobolevandbvspaces
_version_	1716709360597467136

Characterization of Sobolev and BV Spaces

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