Lusin-type approximation of BD functions

DOI10.1017/S0308210500013081zbMath0939.49012OpenAlexW2318804286MaRDI QIDQ4267740

François Ebobisse

Publication date: 5 October 1999

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/s0308210500013081

zbMATH Keywords

functions of bounded deformationLipschitz approximation

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (5)

ON THE PRINCIPLE OF CONTROLLED L^∞ CONVERGENCE IMPLIES ALMOST EVERYWHERE CONVERGENCE FOR GRADIENTS ⋮ On Symmetric div-quasiconvex hulls and divsym-free \(\mathrm{L}^\infty\)-truncations ⋮ Bounds for effective strains of geometrically linear elastic multiwell model ⋮ An approximation theorem for sequences of linear strains and its applications ⋮ A lower semicontinuity result for some integral functionals in the space \(SBD\)

Cites Work

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• A Lusin type theorem for gradients
• On approximate differentiability of functions with bounded deformation
• Fine properties of functions with bounded deformation
• Un espace fonctionnel pour les équations de la plasticité
• On the lower semicontinuity of quasiconvex integrals in SBV(Ω, Rk)
• Semicontinuity problems in the calculus of variations

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