Optimal control of systems governed by elliptic operator of infinite order

Gali, I. M.

doi:10.1007/bfb0065003

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1985

2018

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Cited by 4 publications

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“…The optimal control of systems governed by finite order partial differential (elliptic, parabolic, and hyperbolic) operators defined on finite dimensional spaces have been studied by Lions [11]. The control problems described by either infinite order operators or operators with an infinite number of variables have been discussed by Gali et al [3][4][5][6][7][8]. These results have been extended in [1,2,10,13,18] to cooperative and noncooperative systems.…”

Section: Introductionmentioning

confidence: 99%

Distributed Control for Cooperative Elliptic Systems Under Conjugation Conditions

Serag

Saban

2018

Al-Azhar Bulletin of Science

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The cooperative elliptic systems involving Laplace operator defined on bounded, continuous and strictly Lipschitz domains of under conjugation conditions are considered. First, the existence and uniqueness of the state for these systems with Dirichlet and conjugation conditions is proved, then the set of equations and inequalities that characterizes the distributed control of these systems is found. The problem with Neumann conditions is also discussed.

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