Static, quasistatic and dynamic analysis for scaled Perona-Malik   functionals
  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. 
Andrea Braides, Valerio Vallocchia
math.AP