Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation

被引：8

作者：

Dal Maso, Gianni ^{[1
]}

Orlando, Gianluca ^{[1
]}

Toader, Rodica ^{[2
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] Univ Udine, DIMA, Via Sci 206, I-33100 Udine, Italy

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2017年 / 10卷 / 02期

基金：

欧洲研究理事会;

关键词：

Free discontinuity problems; lower semicontinuity; functions of bounded deformation; GLOBAL METHOD; RELAXATION; SBV;

D O I：

10.1515/acv-2015-0036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the lower semicontinuity of some free discontinuity functionals with linear growth defined on the space of functions with bounded deformation. The volume term is convex and depends only on the Euclidean norm of the symmetrized gradient. We introduce a suitable class of surface terms, which make the functional lower semicontinuous with respect to L-1 convergence.

引用

页码：183 / 207

页数：25

共 22 条

[1] VARIATIONAL-PROBLEMS IN SBV AND IMAGE SEGMENTATION
AMBROSIO, L
[J]. ACTA APPLICANDAE MATHEMATICAE, 1989, 17 (01) : 1 - 40
[2] Fine properties of functions with bounded deformation
Ambrosio, L
Coscia, A
DalMaso, G
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 139 (03) : 201 - 238
[3] [Anonymous], 2013, Matrix Analysis
[4] [Anonymous], 1983, METHODES MATH INFORM
[5] [Anonymous], 2000, Oxford Mathematical Monographs
[6] [Anonymous], 2009, CAUCHYS EQUATION JEN
[7] [Anonymous], 2008, VARIATIONAL APPROACH
[8] Barroso AC., 2000, ANN SCUOLA NORM SUP, V29, P19
[9] Bellettini G, 1998, MATH Z, V228, P337, DOI 10.1007/PL00004617
[10] BOUCHITTE G, 1995, J REINE ANGEW MATH, V458, P1

← 1 2 3 →