Strong approximation of sets in BV(Ω)

DOI10.1017/S0308210507000492zbMath1172.49027OpenAlexW2118384235MaRDI QIDQ3597949

Thierry Quentin de Gromard

Publication date: 29 January 2009

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210507000492

zbMATH Keywords

total variationboundaryrectifiability\(C^1\)-hypersurfacestrong approximation of sets

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (8)

Piecewise affine approximations for functions of bounded variation ⋮ Homogenization and phase separation with space dependent wells: the subcritical case ⋮ On the properties of the set where a generalized function of bounded variation takes an infinite value ⋮ Strong approximation of sets of finite perimeter in metric spaces ⋮ Density of polyhedral partitions ⋮ Strong approximation of sets in BV\((\varOmega)\) by sets with \(\mathcal C^1\) boundary ⋮ Strict interior approximation of sets of finite perimeter and functions of bounded variation ⋮ Law of large numbers for the maximal flow through a domain of $\mathbb{R}^{d}$ in first passage percolation

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