On the approximation of SBV functions

DOI10.4171/RLM/768zbMath1366.26020OpenAlexW2610667283MaRDI QIDQ2360056

Aldo Pratelli, Guido De Philippis, Nicola Fusco

Publication date: 23 June 2017

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/768

zbMATH Keywords

approximationfree discontinuity problems\(\mathrm{SBV}\) functions

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (11)

On the blow-up of GSBV functions under suitable geometric properties of the jump set ⋮ Brittle membranes in finite elasticity ⋮ Approximation of BV by SBV functions in metric spaces ⋮ A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies ⋮ Phase-field approximation for a class of cohesive fracture energies with an activation threshold ⋮ Density of polyhedral partitions ⋮ A Ginzburg-Landau model with topologically induced free discontinuities ⋮ Discrete convolutions of \(\text{BV}\) functions in quasiopen sets in metric spaces ⋮ On the Approximation of SBD Functions and Some Applications ⋮ A formula for the anisotropic total variation of SBV functions ⋮ Density in SBD and approximation of fracture energies

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