Cagnetti, F. and Scardia, L. (2011) An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains. Journal de Mathematiques Pures et Appliquees, 95(4), pp. 349-381. (doi: 10.1016/j.matpur.2010.03.002)
Text
67584.pdf 883kB |
Publisher's URL: http://dx.doi.org/10.1016/j.matpur.2010.03.002
Abstract
The aim of this paper is to prove the existence of extension operators for SBV functions from periodically perforated domains. This result will be the fundamental tool to prove the compactness in a non coercive homogenization problem.
Item Type: | Articles |
---|---|
Additional Information: | NOTICE: this is the author’s version of a work that was accepted for publication in Journal de Mathematiques Pures et Appliquees. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal de Mathematiques Pures et Appliquees, [95, 4, (2011)] DOI:10.1016/j.matpur.2010.03.002 |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Scardia, Dr Lucia |
Authors: | Cagnetti, F., and Scardia, L. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal de Mathematiques Pures et Appliquees |
Journal Abbr.: | J. Math. Pures Appl. |
Publisher: | Elsevier |
ISSN: | 0021-7824 |
Published Online: | 16 April 2010 |
Copyright Holders: | Copyright © 2011 Elsevier |
First Published: | First published in Journal de Mathematiques Pures et Appliquees 95(4):349-381 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
University Staff: Request a correction | Enlighten Editors: Update this record