Geometry of the singular set of hypersurfaces and the eikonal equation

DOI10.1134/S1061920822020078MaRDI QIDQ2146362

I. G. Tsar'kov

Publication date: 16 June 2022

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

reflection caustics

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Singularity in context of PDEs (35A21)

Related Items (6)

Estimates of the Chebyshev radius in terms of the MAX-metric function and the MAX-projection operator ⋮ Chebyshev sets with piecewise continuous metric projection ⋮ Smoothness of solutions of the eikonal equation and regular points of their level surfaces ⋮ On local properties of spaces implying monotone path-connectedness of suns ⋮ Strict protosuns in asymmetric spaces of continuous functions ⋮ Properties of Chebyshev generalized rational fractions in \(L_1\)

Cites Work

• Connectedness and other geometric properties of suns and Chebyshev sets
• Singular sets of surfaces
• Some applications of geometric theory of approximations
• The geometry of a singular set of hypersurfaces and the eikonal equation
• Singularities of solutions of the eikonal equation
• Properties of \(C^1\)-solutions to the eikonal equation
• Connectedness and solarity in problems of best and near-best approximation
• Potpourri of Conjectures and Open Questions in Nonlinear Analysis and Optimization
• GENERALIZED SOLUTIONS OF THE HAMILTON-JACOBI EQUATIONS OF EIKONAL TYPE. I. FORMULATION OF THE PROBLEMS; EXISTENCE, UNIQUENESS AND STABILITY THEOREMS; SOME PROPERTIES OF THE SOLUTIONS
• Smooth solutions of the eikonal equation and the behaviour of local minima of the distance function
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Geometry of the singular set of hypersurfaces and the eikonal equation