Title	Why in some cases the asymptotic linearized problem yields optimal results for a nonlinear version of the carré du champ
Creator	Esteban, Maria J.
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-04-10T15:36
Description	Using a nonlinear parabolic flow, in this talk I will explain why the optimal regions of symmetry and symmetry breaking for the extremals of critical and subcritical Caffarelli-Kohn-Nirenberg inequalities are related to the spectral gap of the linearized problem around the asymptotic Barenblatt solutions. This is a surprising result since it means that a global test yields a global result. The use of the parabolic flow also allows to get improved inequalities with explicit remainder terms.
Extent	50 minutes
Subject	Mathematics; Partial differential equations; Statistical mechanics, structure of matter
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: CNRS & Universite de Paris-Dauphine
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-10-12
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0372549
URI	http://hdl.handle.net/2429/67505
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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