[Seminario] INVITACIÓN SEMINARIO EDP MARTES 09 DE ABRIL A LAS 16:00 HRS

Maria Ines Rivera mrivera en dim.uchile.cl
Lun Abr 8 07:44:48 -04 2019



Estimados Académicos(as) y Alumnos(as),

Se le invita para este martes 09 de abril a las 16:00 hrs,  a una nueva 
sesión del *Seminario de EDP*, este seminario se realizará  en la sala 
de seminarios Felipe Álvarez, piso 5, DIM, U. de Chile.
*
**Seminario EDP**
**
**Expositor**
**
*
**
*Hanne Van Den Bosch**
**Depto. de Ingeniería Matemática**
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**Titulo**
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*A critical Poincaré-Sobolev inequality.**
**
**Abstract: *

We study a specific Poincaré-Sobolev inequality in bounded domains, that 
has recently been used to prove a semi-classical bound on the kinetic 
energy of fermionic many-body states. The corresponding inequality in 
the entire space is precisely scale invariant and this gives rise to an 
interesting phenomenon. Optimizers exist for some (most ?) domains and 
do not exist for some other domains, at least for the isosceles triangle 
in two dimensions.

In this talk, I will discuss bounds on the constant in the inequality 
and the proofs of existence and non-existence.

This is joint work with Rafael Benguria and Cristóbal Vallejos (PUC, Chile).

Esperando contar con su presencia, les saluda,

Ma. Inés Rivera





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