Relaxation of free-discontinuity energies with obstacles

被引：2
作者：
Focardi, Matteo [1 ]
Gelli, Maria Stella [2 ]
机构：
[1] U Dini, Dip Mat, I-50134 Florence, Italy
[2] L Tonelli, Dip Mat, I-56127 Pisa, Italy
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2008年 / 14卷 / 04期
关键词：
obstacle problems; Mumford-Shah energy; relaxation;
D O I：
10.1051/cocv:2008014
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Given a Borel function psi defined on a bounded open set Omega with Lipschitz boundary and phi epsilon L(1)(partial derivative Omega, H(n-1)), we prove an explicit representation formula for the L(1) lower semicontinuous envelope of Mumford-Shah type functionals with the obstacle constraint u(+) >= psi H(n-1) a.e. on Omega and the Dirichlet boundary condition u = phi on partial derivative Omega.
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页码：879 / 896
页数：18
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