The multidirectional mean value inequalities with second order information

DOI10.1017/S1446788700013045zbMath1125.49009OpenAlexW4301698737MaRDI QIDQ5480046

Mohammed Bachir

Publication date: 25 July 2006

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700013045

zbMATH Keywords

Hamilton-Jacobi equationmean value inequalitybump functionviscosity subdifferential

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Infinite-dimensional holomorphy (46G20) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Cites Work

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• Smooth variational principles with constraints
• A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions
• Viscosity Solutions of Hamilton-Jacobi Equations
• User’s guide to viscosity solutions of second order partial differential equations
• Clarke-Ledyaev mean value inequalities in smooth Banach spaces
• Mean Value Inequalities in Hilbert Space
• Mean Value Inequalities
• The Multidirectional Mean Value Theorem in Banach Spaces

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