Author(s)

Djibo Moustapha, Hamidou Haoua, Saley Bisso

Department of Mathematics and Informatics, Abdou Moumouni University, Niamey, Niger.

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.

Sand Dune Formation, Objective Function, Operators, State Equation

Moustapha, D. , Haoua, H. and Bisso, S. (2017) Mathematical Analysis of an Optimal Control Problem of Surface Water Pollution. Applied Mathematics, 8, 164-179. doi: 10.4236/am.2017.82014.