Hypographs satisfying an external sphere condition and the regularity of the minimum time function

DOI10.1016/j.jmaa.2010.07.010zbMath1196.49012OpenAlexW2062350337MaRDI QIDQ994333

Khai T. Nguyen

Publication date: 17 September 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.010

zbMATH Keywords

\(\varphi \)-convex (prox-regular, positive reach) setsinternal/external sphere conditionnormal vectors

Mathematics Subject Classification ID

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

Related Items (12)

On the Subelliptic Eikonal Equation ⋮ Unnamed Item ⋮ On the union of closed balls property ⋮ Non-Lipschitz points and the \(SBV\) regularity of the minimum time function ⋮ Partial regularity for solutions to subelliptic eikonal equations ⋮ BV Regularity and Differentiability Properties of a Class of Upper Semicontinuous Functions ⋮ Interior sphere condition for the graph of a multifunction ⋮ Variational Analysis and Regularity of the Minimum Time Function for Differential Inclusions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Controllability of Some Nonlinear Systems with Drift via Generalized Curvature Properties ⋮ Differentiability properties of the minimum time function for normal linear systems

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• Variational Analysis
• Local differentiability of distance functions
• The Clarke Generalized Gradient for Functions Whose Epigraph Has Positive Reach
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