An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains

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)

[img] 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