[Seminario] RECORDATORIO INVITACIÓN 3 SESIONES SEMINARIO OPTIMIZACIÓN Y EQUILIBRIO, MIERCOLES 22 DE NOVIEMBRE COMENZANDO A LAS 16:00 HRS.

Maria Ines mrivera en dim.uchile.cl
Mie Nov 22 07:41:57 CLST 2017


Estimados Académicos y Alumnos,

Se les recuerda que  hoy Miércoles 22 de noviembre se realizarán   3 
sesiones del  Seminario Optimización y Equilibrio,   la primera 
comenzando a las 16:00 hrs. cada sesión cuenta con  una exposición de  
30 minutos con un coffee break de 10 minutos, en la sala de Seminarios 
John Vob Neumann del CMM, séptimo piso de Beauchef 851, torre norte.

*Seminario

Optimización y Equilibrio

Expositores*

*16:00--16:30hrs *
* Prof. Boulmezaoud, Tahar Zamene, Laboratoire de
Mathématiques de Versailles, Université de Versailles, France

Title: On Fourier transform and weighted Sobolev spaces

Astract: We prove that Fourier transform defines a simple correspondance 
between weighted Sobolev spaces. As a consequence, we display a chain of 
nested invariant spaces over which Fourier transform is an isometry.

*

&&&&&


*16:30--17:00 hrs*

*Prof. Lev Birbrair, Federal Univerisity of Ceara, Brazil

Title: Resonance sequences.  Differential equations meet Number Theory.

Abstract:* We will present some combinatorial or number theoretical
problems coming from Geometric Theory of Ordinary Differential Equations
of the Second Order.

*17:00—17:10* *hrs. * Coffee Break

*17:10--17:40 hrs.*

* Prof. Huynh Van Ngai, University of Quy Nhon, Vietnam

Title:  Inverse function theorems  for multifunctions in graded Fréchet
spaces

Abstract: * The inverse function theorem is one of the central components
of the classical and the modern variational analysis and an essential
device to solving nonlinear equations. The inverse function theorem or
its variants known as the implicit function theorem or the rank theorem
have  been established originally in Euclidean spaces  and then extended
to the Banach space setting. Outside this setting, for instance in
Fréchet spaces, it is known that the inverse function theorem generally
fails. This is the reason why another form of inverse function theorem,
nowadays called the Nash-Moser theorem is used as a powerful tool to
prove local existence for non-linear partial differential equations in
spaces of smooth functions.
Some inverse theorems  of  Nash-Moser type have also  been proved for
functions between Fréchet spaces, that are  supposed to be tame, an
additional  property  guaranteeing that the semi-norms satisfy some
interpolation properties, or that allow the  use of  smoothing operators
as introduced by Nash. To overcome the loss of derivatives, these
additional properties in Fréchet spaces allow Newton's method on which
the Nash-Moser type inverse function theorems are based to converge.
Recently, Ekeland produced a new result within a class of spaces much
larger than the
one used in the Nash-Moser literature.
In this talk, we present some inverse function theorems and implicit
function theorems for set-valued mappings between Fréchet spaces. The
proof relies on Lebesgue's Dominated Convergence Theorem and on
Ekeland's variational principle. An application to the existence of
solutions of differential equations in Fréchet spaces with non-smooth
data is given.

Miércoles 22 de noviembre a las 16:00 hrs, sala de seminarios John Von 
Neumann CMM, Beauchef 851, Torre Norte, Piso 7.

Esperando contar con su presencia, les saluda,

Ma. INés Rivea



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