On the union of closed balls property

DOI10.1007/S10957-012-0068-8zbMath1262.49018OpenAlexW2069433503MaRDI QIDQ1935296

Jean Takche, Chadi Nour

Publication date: 14 February 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0068-8

zbMATH Keywords

nonsmooth analysisproximal analysisexterior and interior sphere conditionsunion of closed balls property

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Regularity of solutions in optimal control (49N60)

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Cites Work

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• Generalized exterior sphere conditions and \(\varphi\)-convexity
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• The \(\theta \)-exterior sphere condition, \(\varphi \)-convexity, and local semiconcavity
• Hypographs satisfying an external sphere condition and the regularity of the minimum time function
• Semiconcavity of the value function for exit time problems with nonsmooth target
• Convexity properties of the minimum time function
• Existence and uniqueness for dislocation dynamics with nonnegative velocity
• On the Structure of the Minimum Time Function
• Interior sphere property of attainable sets and time optimal control problems
• Some New Regularity Properties for the Minimal Time Function
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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