BV Regularity and Differentiability Properties of a Class of Upper Semicontinuous Functions

DOI10.1007/978-3-662-43880-0_12zbMath1446.26011OpenAlexW2187406175MaRDI QIDQ5116352

Davide Vittone, Khai T. Nguyen, Antonio Marigonda

Publication date: 25 August 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-43880-0_12

zbMATH Keywords

semicontinuous functionregularity propertiesminimal time functionhypographexterior sphere condition

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Cites Work

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• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• The perimeter inequality under Steiner symmetrization: cases of equality
• Differentiability properties for a class of non-convex functions
• Hypographs satisfying an external sphere condition and the regularity of the minimum time function
• Convexity properties of the minimum time function
• On the minimum time function around the origin
• On the Structure of the Minimum Time Function
• Exterior Sphere Condition and Time Optimal Control for Differential Inclusions
• Curvature Measures
• Some New Regularity Properties for the Minimal Time Function
• Some regularity results for a class of upper semicontinuous functions

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