Calculus of Variations and Geometric Measure Theory
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G. Bellettini - M. Novaga - M. Paolini - C. Tornese

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

created by novaga on 11 Oct 2007


Submitted Paper

Inserted: 11 oct 2007

Year: 2007


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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