The Lojasiewicz gradient inequality in the infinite dimensional Hilbert space framework

Alain Haraux (1) , Mohamed Ali Jendoubi (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 Faculté des Sciences de Bizerte [Université de Carthage]

Abstract: We provide a reasonably optimal answer to the natural question of the conditions under which an analytic function on an infinite dimensional Hilbert space satisfies the Lojasiewicz gradient inequality.

Mots clés: Hilbert space; Analytic functionals; Gradient inequality; Lojasiewicz theorem

Domaines: Analyse numérique [cs.NA]

Alain Haraux, Mohamed Ali Jendoubi. The Lojasiewicz gradient inequality in the infinite dimensional Hilbert space framework. 2010. ⟨hal-00519451⟩