"Non UBC"@en . "DSpace"@en . "Shafrir, Itai"@en . "2016-04-22T05:02:15Z"@* . "2015-08-31T14:00"@en . "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(\u00CE\u00A9,S1), where \u00CE\u00A9 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(\u00CE\u00A9,S1), where \u00CE\u00A9 is a simply connected domain in IRN , N \u00E2\u0089\u00A5 2. We will present estimates for the minimal distance as well as the Hausdorff distance between different classes."@en . "https://circle.library.ubc.ca/rest/handle/2429/57787?expand=metadata"@en . "49 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: Technion-Israel Institute of Technology"@en . "10.14288/1.0300158"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivatives 4.0 International"@en . "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en . "Faculty"@en . "BIRS Workshop Lecture Videos (Banff, Alta)"@en . "Mathematics"@en . "Partial differential equations"@en . "Calculus of variations and optimal control; optimization"@en . "Distances between classes of S1-valued maps"@en . "Moving Image"@en . "http://hdl.handle.net/2429/57787"@en .