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Mathematical Analysis of an Optimal Control Problem of Surface Water Pollution
Department of Mathematics and Informatics, Abdou Moumouni University, Niamey, Niger
Department of Mathematics and Informatics, Abdou Moumouni University, Niamey, Niger
Department of Mathematics and Informatics, Abdou Moumouni University, Niamey, Niger
- 1 Department of Mathematics and Informatics, Abdou Moumouni University, Niamey, Niger
- 2 Department of Mathematics and Informatics, Abdou Moumouni University, Niamey, Niger
- 3 Department of Mathematics and Informatics, Abdou Moumouni University, Niamey, Niger
Applied Mathematics·Volume 08 (2017)·Pages 164–179·Published 7 February 2017·DOI10.4236/am.2017.82014
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Abstract
We present in this paper a new technique based on Gelfand’s triplet [1] and include differential theory to make a theoretical analysis of an optimal control problem with constraints governed by coupled partial differential equations. This technique allowed us to give some theoretical results of existence and uniqueness of the solution of constraints and characterize the optimal control.
KeywordsSand Dune FormationObjective FunctionOperatorsState Equation
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