A new approximation result for BV-functions

DOI10.1016/j.crma.2005.03.027zbMath1064.49014OpenAlexW1983247316MaRDI QIDQ557105

Micol Amar, Virginia De Cicco

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.03.027

zbMATH Keywords

approximationrelaxationfunction of bounded variationGamma-convergenceMumford-Shah functionalquasi-polyhedral sequence

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (5)

Piecewise affine approximations for functions of bounded variation ⋮ Approximation of BV by SBV functions in metric spaces ⋮ A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies ⋮ Density of polyhedral partitions ⋮ On the Approximation of SBD Functions and Some Applications

Cites Work

• Higher integrability of the gradient and dimension of the singular set for minimisers of the Mumford-Shah functional
• A density result in SBV with respect to non-isotropic energies
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