Smoothness of Solutions of the Eikonal Equation and Regular Points of Their Level Surfacesстатья
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Дата последнего поиска статьи во внешних источниках: 17 апреля 2024 г.
Аннотация:Properties of local solarity and regularity in essentially asymmetric locally uniformlyrotund spaces are studied. The results obtained are applied to the study of smooth solutions of theeikonal equation |\nabla u| ≡ 1. For this purpose, sets of regular points are investigated. Examples ofthe influence of caustics on the evolution of elliptical galaxies into spiral ones are given.