Title	Asymptotical analysis of a weighted very fast diffusion equation arising in quantization of measures via the JKO scheme
Creator	Iacobelli, Mikaela
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-04-11T11:12
Description	In this talk I would like to present some recent results on the asymptotic behavior of a very fast diffusion PDE with periodic boundary conditions. This equation is motivated by the gradient flow approach to the problem of quantization of measures. I prove exponential convergence to equilibrium under minimal assumptions on the data, and I also provide sufficient conditions for W2-stability of solutions. Moreover, I will present a work in progress with Filippo Santambrogio and Francesco Saverio Patacchini where we use the JKO scheme to relax the hypotheses of my previous convergence result.
Extent	26 minutes
Subject	Mathematics; Partial differential equations; Statistical mechanics, structure of matter
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Durham University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-10-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0372750
URI	http://hdl.handle.net/2429/67540
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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