Investigation of the sets of real solutions of non-linear equations

Investigation of the sets of real solutions of non-linear equations

We study the problem of constructing a smooth curve lying on the level set of a smooth map and issuing from an abnormal point. We find sufficient conditions for the existence of such curves and obtain bounds for the distances to level sets of the smooth map near an abnormal point.

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Veröffentlicht in:Izvestiya. Mathematics 2019-04, Vol.83 (2), p.199-213
1. Verfasser: Arutyunov, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
abnormal point
bound for the distance to a level set
Linear equations
Nonlinear equations
quadratic map
regular zero of a quadratic map
smooth curve
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Beschreibung
Zusammenfassung:We study the problem of constructing a smooth curve lying on the level set of a smooth map and issuing from an abnormal point. We find sufficient conditions for the existence of such curves and obtain bounds for the distances to level sets of the smooth map near an abnormal point.
ISSN:1064-5632
1468-4810
DOI:10.1070/IM8795