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Optimal control for parabolic systems with competitive interactions

✍ Scribed by S. Lenhart; V. Protopopescu

Publisher: John Wiley and Sons
Year: 1994
Tongue: English
Weight: 681 KB
Volume: 17
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1670170703

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✦ Synopsis

Abstract

We consider a two‐dimensional parabolic system with general competitive interactions as a two‐player game with conflicting objectives and with controls on the inhomogencous (source) terms. We show the existence of an optimal solution of the game as the saddle point of a suitable objective functional.

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