BIRS Workshop Lecture Videos
Distances between classes of S1-valued maps Shafrir, Itai
Certain Sobolev spaces of S1-valued functions can be writ- ten as a union of disjoint classes. It is interesting to study the distances between these classes. Previous work (Rubinstein-Shafrir 2007) stud- ied the distances between classes in W1,2(Ω,S1), where Ω is a multiply connected domain in IR2. In this talk, based on a joint work with Brezis and Mironescu, we shall concentrate on classes in W1,1(Ω,S1), where Ω is a simply connected domain in IRN , N ≥ 2. We will present estimates for the minimal distance as well as the Hausdorff distance between different classes.
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