Title	Well-posedness of fully nonlinear PDEs with Caputo time fractional derivatives
Creator	Namba, Tokinaga
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-06-21T14:01
Description	We will introduce an extended notion of viscosity solutions for initial-boundary value problems of second order fully nonlinear PDEs that include Caputo time fractional derivatives of order less than one. As is the integer-order case, the unique existence is established by the comparison principle and Perron's method. Stability with respect to the order of time derivative is provided by the half-relaxed limit method.
Extent	24.0
Subject	Mathematics; Partial differential equations; Numerical analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Nippon Steel & Sumitomo Metal Corporation
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376915
URI	http://hdl.handle.net/2429/68748
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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