Plane R-curves and their steepest descent properties I

DOI10.1080/00036811.2018.1466278zbMath1431.49052OpenAlexW2800819550MaRDI QIDQ5197984

Paolo Manselli, Marco Longinetti, Adriana Venturi

Publication date: 2 October 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1466278

zbMATH Keywords

length of curvessets with positive reachdetoursteepest descent curveself-contracted curve

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Ordinary differential inclusions (34A60) Curves in Euclidean and related spaces (53A04) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (3)

Rectifiability property for plane paths and descent curves ⋮ Plane R-curves II ⋮ Plane R-curves and their steepest descent properties I

Cites Work

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• Maximum length of steepest descent curves for quasi-convex functions
• Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions
• Rectifiability of self-contracted curves in the Euclidean space and applications
• Curvature Measures
• Self-approaching curves
• On steepest descent curves for quasi convex families in Rn
• Plane R-curves and their steepest descent properties I
• Generalized self-approaching curves

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