Derivatives of Sub-Riemannian Geodesics are Lp-Hölder Continuous

DOI10.1051/cocv/2023055zbMath1525.53037arXiv2203.04956OpenAlexW4385068173MaRDI QIDQ6138501

M. I. Zelikin, L. V. Lokutsievskiy

Publication date: 5 September 2023

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.04956

zbMATH Keywords

Besov spacessub-Riemannian geometryinterpolation theoryabnormal geodesicconvex duality problem

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Geodesics in global differential geometry (53C22) Sub-Riemannian geometry (53C17)

Related Items (1)

Higher order Goh conditions for singular extremals of corank 1

Cites Work

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• Extremal curves in nilpotent Lie groups
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• On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures
• Non-minimality of corners in subriemannian geometry
• Regularity results for sub-Riemannian geodesics
• The L p Modulus of Continuity and Fourier Series of Lipschitz Functions
• Subriemannian geodesics of Carnot groups of step 3
• A Comprehensive Introduction to Sub-Riemannian Geometry

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