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Mathematics of the USSR-Sbornik, 1973, Volume 19, Issue 3, Pages 425–467
DOI: https://doi.org/10.1070/SM1973v019n03ABEH001788 (Mi sm3060) 		 
This article is cited in 15 scientific papers (total in 16 papers)

Stable lower estimates for smooth mappings and for gradients of smooth function

N. N. Nekhoroshev
English version PDF (2298 kB) Citations (16)
References:
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DOI: https://doi.org/10.1070/SM1973v019n03ABEH001788
Abstract: In this article is discussed a stable lower estimate for gradients of functions near a critical point. It is stable in the sense that if the function belongs to a family of functions depending smoothly on a finite-dimensional parameter, then the estimate will be correct for functions with close parameter values. Related to this estimate is a stratification of the space of jets of functions; the strata are semialgebraic sets of increasing codimension.
Bibliography: 6 titles.
Received: 06.07.1972
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1973, Volume 90(132), Number 3, Pages 432–478
Bibliographic databases:
UDC: 517.514.2
MSC: Primary 57D70; Secondary 58F05, 58A20
Language: English
Original paper language: Russian
Citation: N. N. Nekhoroshev, “Stable lower estimates for smooth mappings and for gradients of smooth function”, Mat. Sb. (N.S.), 90(132):3 (1973), 432–478; Math. USSR-Sb., 19:3 (1973), 425–467
Citation in format AMSBIB
\Bibitem{Nek73}
\by N.~N.~Nekhoroshev
\paper Stable lower estimates for smooth mappings and for gradients of smooth function
\jour Mat. Sb. (N.S.)
\yr 1973
\vol 90(132)
\issue 3
\pages 432--478
\mathnet{http://mi.mathnet.ru/sm3060}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=413162}
\zmath{https://zbmath.org/?q=an:0256.26011}
\transl
\jour Math. USSR-Sb.
\yr 1973
\vol 19
\issue 3
\pages 425--467
\crossref{https://doi.org/10.1070/SM1973v019n03ABEH001788}
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  • https://www.mathnet.ru/eng/sm/v132/i3/p432
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:395
    Russian version PDF:134
    English version PDF:15
    References:62
    First page:2
     
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