Free-discontinuity problems generated by singular perturbation

被引:14
|
作者
Alicandro, R [1 ]
Braides, A [1 ]
Gelli, MS [1 ]
机构
[1] SISSA, I-34013 Trieste, Italy
关键词
D O I
10.1017/S0308210500027256
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that some free discontinuity problems can be obtained as a limit of nonconvex local functionals with a singular perturbation of higher order.
引用
收藏
页码:1115 / 1129
页数:15
相关论文
共 50 条
  • [1] Γ-convergence of free-discontinuity problems
    Cagnetti, Filippo
    Dal Maso, Gianni
    Scardia, Lucia
    Zeppieri, Caterina Ida
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2019, 36 (04): : 1035 - 1079
  • [2] Free discontinuity problems generated by singular perturbation:: the n-dimensional case
    Alicandro, R
    Gelli, MS
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2000, 130 : 449 - 469
  • [3] Regular approximation of free-discontinuity problems
    Bouchitté, G
    Dubs, C
    Seppecher, P
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2000, 10 (07): : 1073 - 1097
  • [4] Stochastic Homogenisation of Free-Discontinuity Problems
    Cagnetti, Filippo
    Dal Maso, Gianni
    Scardia, Lucia
    Zeppieri, Caterina Ida
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 233 (02) : 935 - 974
  • [5] Stochastic Homogenisation of Free-Discontinuity Problems
    Filippo Cagnetti
    Gianni Dal Maso
    Lucia Scardia
    Caterina Ida Zeppieri
    Archive for Rational Mechanics and Analysis, 2019, 233 : 935 - 974
  • [6] Iterative Thresholding Meets Free-Discontinuity Problems
    Fornasier, Massimo
    Ward, Rachel
    FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2010, 10 (05) : 527 - 567
  • [7] Nonlocal approximation of nonisotropic free-discontinuity problems
    Cortesani, G
    Toader, R
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1999, 59 (04) : 1507 - 1519
  • [8] Iterative Thresholding Meets Free-Discontinuity Problems
    Massimo Fornasier
    Rachel Ward
    Foundations of Computational Mathematics, 2010, 10 : 527 - 567
  • [9] On the variational approximation of free-discontinuity problems in the vectorial case
    Focardi, M
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2001, 11 (04): : 663 - 684
  • [10] Finite-difference approximation of free-discontinuity problems
    Gobbino, M
    Mora, MG
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2001, 131 : 567 - 595