Density of bounded maps in Sobolev spaces into closed manifold - Pierre BOUSQUET (Univ. Toulouse, Francia)
Event details
When
Apr 12, 2017
from 12:00 PM to 01:00 PM
from 12:00 PM to 01:00 PM
Contact Name
Michele Miranda
ABSTRACT . Given a submanifold N embedded in an Euclidean
space R ν , the Sobolev space W 1,p (B m ; N ) is the set of those maps
in W 1,p (B m ; R ν ) which are constrained to take their values into
N . Such maps exhibit some specific singularities related to this
constraint. When N is compact, these singularities are closely
linked to the topology of N . In this talk, we investigate the case
where N is assumed to be closed but not necessarily compact. The
main novelty is that the geometry of N now plays a crucial role in
the analysis of the singularities. This is a joint work with Augusto
Ponce and Jean Van Schaftingen.
