News

Density and singularities in Sobolev spaces between manifolds

Lunedi' 12 Novembre 2012 - Pierre Bousquet

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Lunedi' 12 Novembre 2012 alle ore 15:00 in aula 2BC30, Pierre Bousquet (Universita' di Montpellier, Francia) terra' un seminario dal titolo "Density and singularities in Sobolev spaces between manifolds".

-Abstract
Given a compact manifold N, we consider the space W^{k,p}({B}^m,N) of those Sobolev maps from the unit ball in R^m with values into N. It may happen that the set of smooth maps C^{infty}(B^m,N) is not dense in W^{k,p}(B^m,N). This is the main aim of the talk to present the topological obstructions involving such a phenomenon. Special emphasis will be placed on the case when N is a sphere. This is a joint work with Augusto Ponce and Jean Van Schaftingen.

Rif. int. M. Bardi, C. Marchi, C. Mariconda

Download Pagina web