Title	Optimal regularity and structure of the free boundary for minimizers in cohesive zone models
Creator	Cagnetti, Filippo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-05-24T10:50
Description	We consider minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness assumptions on the boundary conditions and on the fracture energy density, we show that minimizers are $C^{1, 1/2}$ on each side of the fracture. Moreover, we prove that near non-degenerate points the fracture set is $C^{1, \alpha}$, for some $\alpha \in (0,1)$. This is joint work with Luis Caffarelli and Alessio Figalli.
Extent	34.0
Subject	Mathematics; Calculus of variations and optimal control; optimization; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Sussex
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377258
URI	http://hdl.handle.net/2429/69018
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Other
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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