A gradient inequality at infinity for tame functions
- Autores: Didier D'Acunto, Vincent Grandjean
- Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 18, Nº 2, 2005, págs. 493-501
- Idioma: inglés
- DOI: 10.5209/rev_rema.2005.v18.n2.16699
- Enlaces
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Resumen
Let be a function defined over and definable in a given o-minimal structure expanding the real field. We prove here a gradient-like inequality at infinity in a neighborhood of an asymptotic critical value . When is we use this inequality to discuss the trivialization by the gradient flow of in a neighborhood of a regular asymptotic critical level.
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