Title	Weak Harnack inequality for the Boltzmann equation without cut-off
Creator	Imbert, Cyril
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-04-03T14:22
Description	In this talk, I will present the recent results obtained in collaboration with L. Silvestre (Chicago) about Hölder continuity of solutions of the Boltzmann equation without cut-off under the condition that mass, energy and density are locally bounded and that mass is bounded away from zero (non-vacuum condition). Such a regularity result is a consequence of a weak Harnack inequality for a general kinetic integro-differential equation for kernels satisfying sufficiently mild conditions to be applicable to the Boltzmann equation. Such a weak Harnack inequality is obtained by applying elliptic regularity techniques of De Giorgi type.
Extent	47 minutes
Subject	Mathematics; Partial differential equations; Integral equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Ecole Normale Supérieure
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-10-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0355857
URI	http://hdl.handle.net/2429/63161
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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