Nonlocal approximation of nonisotropic free-discontinuity problems

被引：7

作者：

Cortesani, G

Toader, R

机构：

[1] Int Sch Adv Studies, I-34013 Trieste, Italy

[2] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1999年 / 59卷 / 04期

关键词：

free-discontinuity problems; Gamma-convergence; nonlocal integral functionals; nonisotropic bulk and surface energies; Wulff set;

D O I：

10.1137/S0036139997327691

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a class of free-discontinuity problems with nonisotropic bulk and surface energy densities is approximated, in the sense of Gamma-convergence, by suitable families of nonlocal integral functionals. Some connections with the Wulff set are also pointed out.

引用

页码：1507 / 1519

页数：13

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