A quantitative variational analysis of the staircasing phenomenon for a second order regularization of the Perona-Malik functional

DOI10.1090/tran/8841zbMath1521.49011arXiv2205.02467OpenAlexW4307444511MaRDI QIDQ6135801

Nicola Picenni, Massimo Gobbino

Publication date: 28 August 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.02467

zbMATH Keywords

singular perturbationblow-upYoung measureGamma-convergencevarifoldlocal minimizerhigher order regularizationPerona-Malik functional

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Variational problems in a geometric measure-theoretic setting (49Q20) Functional equations for real functions (39B22) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

Monotonicity Properties of Limits of Solutions to the Semidiscrete Scheme for a Class of Perona–Malik Type Equations

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