Integral of the Clarke subdifferential mapping and a generalized Newton-Leibniz formula

DOI10.1016/j.na.2010.03.030zbMath1195.49023OpenAlexW2068972947WikidataQ123151968 ScholiaQ123151968MaRDI QIDQ984032

Nguyen Huy Chieu

Publication date: 13 July 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.030

zbMATH Keywords

Aumann integralLebesgue measurelocally Lipschitz functionClarke subdifferential mappingNewton-Leibniz formula

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50)

Related Items (2)

Well-posedness and variational numerical scheme for an adaptive model in highly heterogeneous porous media ⋮ Limiting subdifferentials of indefinite integrals

Cites Work

• Convex analysis and measurable multifunctions
• Qualitative properties of trajectories of control systems: a survey
• Integrals of set-valued functions
• Variational Analysis
• On the Clarke Subdifferential of an Integral Functional on L_p, 1 ≤ p < ∞
• Enlarged Inclusion of Subdifferentials
• Set-valued analysis
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