Geodesic
The Geometry of a Singular Set of Hypersurfaces and the Eikonal Equation
Matematičeskie zametki, Tome 108 (2020) no. 3, pp. 441-451

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Smooth solutions of the eikonal equation are studied. A relationship between the geometry of a hypersurface and the set of singular points of its metric function on both sides of this hypersurface is investigated.
Mots-clés : eikonal equation
Keywords: singular set, regular point, sun point. 
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     author = {I. G. Tsar'kov},
     title = {The {Geometry} of a {Singular} {Set} of {Hypersurfaces} and the {Eikonal} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {441--451},
     publisher = {mathdoc},
     volume = {108},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a8/}
}
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I. G. Tsar'kov. The Geometry of a Singular Set of Hypersurfaces and the Eikonal Equation. Matematičeskie zametki, Tome 108 (2020) no. 3, pp. 441-451. http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a8/