# Static, Quasi-static and Dynamic Analysis for Scaled Perona-Malik Functionals

created by braidesa on 25 Oct 2016
modified on 20 Jan 2018

[BibTeX]

Published Paper

Inserted: 25 oct 2016
Last Updated: 20 jan 2018

Journal: Acta Applicandae Mathematicae
Year: 2018
Doi: 10.1007/s10440-018-0155-4

Abstract:

We present an asymptotic description of local minimization problems, and of quasi-static and dynamic evolutions of scaled Perona-Malik functionals. The scaling is chosen such that these energies $\Gamma$-converge to the Mumford-Shah functional by a result by Morini and Negri.