Classification of equilibria and Γ-convergence for the discrete Perona-Malik functional
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,Algebra and Number Theory
Link
http://link.springer.com/content/pdf/10.1007/s10092-009-0006-9.pdf
Reference23 articles.
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3. Bellettini, G., Fusco, G., Guglielmi, N.: A concept of solution for forward-backward equations of the form $u_{t}=\frac{1}{2}(\phi'(u_{x}))_{x}$ and numerical experiments for the singular perturbation $u_{t}=-\epsilon^{2}u_{xxxx}+\frac{1}{2}(\phi'(u_{x}))_{x}$ . Discrete Contin. Dyn. Syst. 16(4), 783–842 (2006)
4. Bellettini, G., Novaga, M., Paolini, E.: Global solutions to the gradient flow equation of a nonconvex functional. SIAM J. Math. Anal. 37(5), 1657–1687 (2006)
5. Bellettini, G., Novaga, M., Paolini, M., Tornese, C.: Convergence of discrete schemes for the Perona-Malik equation. J. Differ. Equ. 245, 892–924 (2008)
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1. Staircasing effect for minimizers of the one-dimensional discrete Perona–Malik functional;ESAIM: Control, Optimisation and Calculus of Variations;2024
2. Static, Quasistatic and Dynamic Analysis for Scaled Perona-Malik Functionals;Acta Applicandae Mathematicae;2018-01-17
3. The Γ-limit for singularly perturbed functionals of Perona–Malik type in arbitrary dimension;Mathematical Models and Methods in Applied Sciences;2014-03-28
4. A backward–forward regularization of the Perona–Malik equation;Journal of Differential Equations;2012-02
5. Slow Time Behavior of the Semidiscrete Perona–Malik Scheme in One Dimension;SIAM Journal on Mathematical Analysis;2011-11-10
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