Regularity theory for variational problems on BD

In this thesis we provide regularity results for convex and semiconvex variational problems which are of linear growth and depend on the symmetric rather than the full gradient. By the non-availability of Korn's Inequality (known as Ornstein's Non-Inequality), usual approaches need to be m...

Full description

Bibliographic Details
Main Author: Gmeineder, Franz Xaver
Other Authors: Kristensen, Jan
Published: University of Oxford 2017
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.729064
id ndltd-bl.uk-oai-ethos.bl.uk-729064
record_format oai_dc
spelling ndltd-bl.uk-oai-ethos.bl.uk-7290642018-06-12T03:13:08ZRegularity theory for variational problems on BDGmeineder, Franz XaverKristensen, Jan2017In this thesis we provide regularity results for convex and semiconvex variational problems which are of linear growth and depend on the symmetric rather than the full gradient. By the non-availability of Korn's Inequality (known as Ornstein's Non-Inequality), usual approaches need to be modified in order to obtain higher regularity of generalised minima.University of Oxfordhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.729064https://ora.ox.ac.uk/objects/uuid:1f412087-de70-44a8-a045-8923f1e29611Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
description In this thesis we provide regularity results for convex and semiconvex variational problems which are of linear growth and depend on the symmetric rather than the full gradient. By the non-availability of Korn's Inequality (known as Ornstein's Non-Inequality), usual approaches need to be modified in order to obtain higher regularity of generalised minima.
author2 Kristensen, Jan
author_facet Kristensen, Jan
Gmeineder, Franz Xaver
author Gmeineder, Franz Xaver
spellingShingle Gmeineder, Franz Xaver
Regularity theory for variational problems on BD
author_sort Gmeineder, Franz Xaver
title Regularity theory for variational problems on BD
title_short Regularity theory for variational problems on BD
title_full Regularity theory for variational problems on BD
title_fullStr Regularity theory for variational problems on BD
title_full_unstemmed Regularity theory for variational problems on BD
title_sort regularity theory for variational problems on bd
publisher University of Oxford
publishDate 2017
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.729064
work_keys_str_mv AT gmeinederfranzxaver regularitytheoryforvariationalproblemsonbd
_version_ 1718693640873705472