[CvGmt News] Colloquio De Giorgi e seminario Ekeland
Luigi Ambrosio
l.ambrosio at sns.it
Mon Mar 14 09:43:09 CET 2011
Ennio De Giorgi Colloquium and seminar
IVAR EKELAND
CEREMADE et Institut de Finance
Universitè Paris-Dauphine
Aula Dini, Scuola Normale Superiore
22 Marzo 2011
14.00-15.00. Colloquio De Giorgi
15.00-15.30. Coffee break
15.30.17.00. Seminar
Title: An inverse function theorem in C^\infty
Abstract: We state and prove a "hard" inverse function theorem which
extends the classical theorem of Nash and Moser. In contrast with the
latter, we do not use the Newton iteration procedure, so we do not
require that the function to be inverted is C^2, or even C^1, or even
Frechet-differentiable. The proof is direct, and relies on Ekeland's
variational principle. During the colloquium, we will explain the method
and prove the theorem in the "easy" case (Banach spaces) and during
the afterwards seminar we will provide the proof in the "hard" case
(Frechet spaces)
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Luigi Ambrosio ____
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Scuola Normale Superiore -------
piazza dei Cavalieri 7 ///////
I-56126 PISA -------
ITALY ///////
------- email: l.ambrosio AT sns.it
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------- fax: ++39/050/563513
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