Rectifiability of the jump set of locally integrable functions

DOI10.2422/2036-2145.202002_006zbMath1489.26015arXiv2001.04675OpenAlexW3127272445MaRDI QIDQ5161611

Giacomo Del Nin

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04675

zbMATH Keywords

rectifiabilityjump setsingular set

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Continuity and differentiation questions (26B05) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (5)

On some non-local approximation of nonisotropic Griffith-type functionals ⋮ Homogenization and phase separation with space dependent wells: the subcritical case ⋮ Jumps in Besov spaces and fine properties of Besov and fractional Sobolev functions ⋮ Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth ⋮ Sharp interface limit of a multi-phase transitions model under nonisothermal conditions

Cites Work

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• Generalised functions of bounded deformation
• Fine properties of functions with bounded deformation
• Measures with unique tangent measures in metric groups

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