# Classification of the equilibria for the semi-discrete Perona-Malik equation

created by novaga on 11 Oct 2007
modified on 10 Nov 2018

[BibTeX]

Published Paper

Inserted: 11 oct 2007
Last Updated: 10 nov 2018

Journal: Calcolo
Volume: 46
Number: 4
Pages: 221-243
Year: 2009

Abstract:

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 $\Gamma$-expansion of the corresponding discretized functionals up to the order two, as the discretization parameter goes to zero.

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