International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 1, Pages 57-62
doi:10.1155/S0161171201007128
Abstract
Using a previous result by Gali and El-Saify (1983) and the theory
of Kotarski (1989), and Lions (1971), we formulate the boundary
control problem for a system governed by Neumann problem
involving selfadjoint elliptic operator of 2ℓth order with an infinite number of variables. The inequalities which
characterize the optimal control in terms of the adjoint system are obtained, it is studied in order to construct algorithms attainable to numerical computations for the approximation of the control.