BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Distances between classes of sphere-valued maps Shafrir, Itai


Certain spaces of Sobolev maps taking values in spheres can be decomposed into classes according to the singularities of each map. Two important examples are $W^{1,1}(\Omega;S^1)$ and $W^{1,2}(\Omega;S^2)$, where $\Omega$ is a smooth bounded domain in ${\mathbb R}^N$. We shall present several results and open problems regarding two natural notions of distance between different classes. This is a joint work with Haim Brezis and Petru Mironescu.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International