Title	Optimal Control applied to Elliptic and Parabolic PDEs with Biological Applications
Creator	Ding, Wandi
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-07-19T11:01
Description	We apply the optimal control theory to Elliptic and Parabolic partial differential equations. We study the control problem of maximizing the net benefit in the conservation of a single species with a fixed amount of resources. We also consider an optimal control problem of a system of parabolic partial differential equations modeling the competition between an invasive and a native species. The existence of an optimal control is established and the uniqueness and characterization of the optimal control are investigated for both applications. Numerical simulations illustrate several cases. Some open problems are discussed.
Extent	30 minutes
Subject	Mathematics; Partial differential equations; Systems theory; control; Control/optimization/operation research
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Middle Tennessee State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-01-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0363045
URI	http://hdl.handle.net/2429/64379
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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Optimal Control applied to Elliptic and Parabolic PDEs with Biological Applications Ding, Wandi

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