Classification of equilibria and I"-convergence for the discrete Perona-Malik functional

被引：7
|
作者：
Bellettini, G. [1 ,2 ]
Novaga, M. [3 ]
Paolini, M. [4 ]
Tornese, C. [1 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Ist Nazl Fis Nucl, Lab Nazl Frascati, I-00044 Frascati, Italy
[3] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy
[4] Univ Cattolica Brescia, Dipartimento Matemat & Fis, I-25121 Brescia, Italy
来源：
CALCOLO | 2009年 / 46卷 / 04期
关键词：
Nonconvex functionals; Semi-discrete schemes; Stability of equilibria; Gamma-expansion; GRADIENT FLOW;
D O I：
10.1007/s10092-009-0006-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a complete classification of the stability properties of the equilibria for the semi-discrete one-dimensional Perona-Malik equation, with Dirichlet boundary conditions. We also give the I"-expansion of the corresponding discretized functionals up to the order two, as the discretization parameter goes to zero.
引用
收藏
页码：221 / 243
页数：23
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