Densities of measures as an alternative to derivatives for measurable inclusions

DOI10.1134/S0016266319040051zbMath1444.28001MaRDI QIDQ2191808

A. A. Tolstonogov

Publication date: 26 June 2020

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

function of bounded variationBorel measuredensity of measurevariation of function and measure

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Functions of bounded variation, generalizations (26A45) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (1)

BV sweeping process involving prox-regular sets and a composed perturbation

Cites Work

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• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• A chain rule involving vector functions of bounded variation
• BV solutions to evolution problems with time-dependent domains
• Perturbed evolution problems with continuous bounded variation in time and applications
• BV solutions of nonconvex sweeping process differential inclusion with perturbation

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