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

Classification of the equilibria and Gamma-convergence for the semi-discrete Perona-Malik equation

Bellettini, Giovanni;
2009-01-01

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 Γ-expansion of the corresponding discretized functionals up to the order two, as the discretization parameter goes to zero.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1313772
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