The Łojasiewicz gradient inequality in a neighbourhood of the fibre

Janusz Gwoździewicz; Stanisław Spodzieja

Annales Polonici Mathematici (2005)

  • Volume: 87, Issue: 1, page 151-163
  • ISSN: 0066-2216

Abstract

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Some estimates of the Łojasiewicz gradient exponent at infinity near any fibre of a polynomial in two variables are given. An important point in the proofs is a new Charzyński-Kozłowski-Smale estimate of critical values of a polynomial in one variable.

How to cite

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Janusz Gwoździewicz, and Stanisław Spodzieja. "The Łojasiewicz gradient inequality in a neighbourhood of the fibre." Annales Polonici Mathematici 87.1 (2005): 151-163. <http://eudml.org/doc/280311>.

@article{JanuszGwoździewicz2005,
abstract = {Some estimates of the Łojasiewicz gradient exponent at infinity near any fibre of a polynomial in two variables are given. An important point in the proofs is a new Charzyński-Kozłowski-Smale estimate of critical values of a polynomial in one variable.},
author = {Janusz Gwoździewicz, Stanisław Spodzieja},
journal = {Annales Polonici Mathematici},
keywords = {polynomial mappings; critical values; bifurcation point; gradient exponent},
language = {eng},
number = {1},
pages = {151-163},
title = {The Łojasiewicz gradient inequality in a neighbourhood of the fibre},
url = {http://eudml.org/doc/280311},
volume = {87},
year = {2005},
}

TY - JOUR
AU - Janusz Gwoździewicz
AU - Stanisław Spodzieja
TI - The Łojasiewicz gradient inequality in a neighbourhood of the fibre
JO - Annales Polonici Mathematici
PY - 2005
VL - 87
IS - 1
SP - 151
EP - 163
AB - Some estimates of the Łojasiewicz gradient exponent at infinity near any fibre of a polynomial in two variables are given. An important point in the proofs is a new Charzyński-Kozłowski-Smale estimate of critical values of a polynomial in one variable.
LA - eng
KW - polynomial mappings; critical values; bifurcation point; gradient exponent
UR - http://eudml.org/doc/280311
ER -

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