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Optimal control for parabolic systems with competitive interactions

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original languageEnglish
Pages (from-to)509-524
Number of pages16
JournalMathematical Methods in the Applied Sciences
Volume17
Issue number7
DOIs
StatePublished - Jun 10 1994

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