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Matematicheskie Zametki, 2020, Volume 108, Issue 3, Pages 441–451
DOI: https://doi.org/10.4213/mzm12659 (Mi mzm12659) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The Geometry of a Singular Set of Hypersurfaces and the Eikonal Equation

I. G. Tsar'kovab

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics
Full-text PDF (560 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm12659
Abstract: 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.
Keywords: eikonal equation, singular set, regular point, sun point.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00332-a
This work was supported by the Russian Foundation for Basic Research under grant 19-01-00332-a.
Received: 02.01.2020
Revised: 30.03.2020
English version:
Mathematical Notes, 2020, Volume 108, Issue 3, Pages 426–433
DOI: https://doi.org/10.1134/S0001434620090114
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: I. G. Tsar'kov, “The Geometry of a Singular Set of Hypersurfaces and the Eikonal Equation”, Mat. Zametki, 108:3 (2020), 441–451; Math. Notes, 108:3 (2020), 426–433
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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