Optimal control for parabolic systems with competitive interactions

S. Lenhart; V. Protopopescu

doi:10.1002/mma.1670170703

Optimal control for parabolic systems with competitive interactions

S. Lenhart, V. Protopopescu

Computational Sciences & Engineering Div

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 language	English
Pages (from-to)	509-524
Number of pages	16
Journal	Mathematical Methods in the Applied Sciences
Volume	17
Issue number	7
DOIs	https://doi.org/10.1002/mma.1670170703
State	Published - Jun 10 1994

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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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AB - 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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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

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Optimal control for parabolic systems with competitive interactions

Abstract

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