1994
DOI: 10.1002/mma.1670170703
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Optimal control for parabolic systems with competitive interactions

Abstract: Communicated by L. PayneWe consider a two-dimensional parabolic system with general competitive interactions as a two-player game with conflicting objectives and with controls on the inhomogeneous (source) terms. We show the existence of an optimal solution of the game as the saddle point of a suitable objective functional. IntroductionWe consider a system of two semilinear parabolic equations with general competitive interactions. These systems occur frequently in mathematical modelling as suitable representa… Show more

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Cited by 8 publications
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