Properties of \(C^1\)-solutions to the eikonal equation

DOI10.1134/S1995080217040217zbMath1373.35088OpenAlexW2734899038MaRDI QIDQ2404817

I. G. Tsar'kov

Publication date: 20 September 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217040217

zbMATH Keywords

regular setssingular setssolarity points

Mathematics Subject Classification ID

Critical points of functions and mappings on manifolds (58K05) Geometric optics (78A05) Hamilton-Jacobi equations (35F21)

Related Items (7)

Geometry of the singular set of hypersurfaces and the eikonal equation ⋮ Monotone path-connectedness of strict suns ⋮ Smoothness of solutions of the eikonal equation and regular points of their level surfaces ⋮ The geometry of a singular set of hypersurfaces and the eikonal equation ⋮ Solarity of Chebyshev sets in dual spaces and uniquely remotal sets ⋮ Smooth solutions of the eikonal equation and the behaviour of local minima of the distance function ⋮ Singularities of solutions of the eikonal equation

Cites Work

• Connectedness and solarity in problems of best and near-best approximation
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