OPTIMALITY OF SOLVING A PROBLEM WITH A CONTROL GRADIENT IN THE COEFFICIENTS OF THE HEAT CONDUCTION EQUATION

Consideration has been given to the problem of optimal control with a control factor gradient in the coefficients of
the steady-state second-order heat conduction equation. The necessary optimality condition for solving this problem
is found. The application of the obtained results to the problem of controlling the domain boundary is indicated. An
example of instability of the considered problem is provided and an iterative algorithm of regularizing its solution
is described

Author:  R. A. Hamidov, M. A. Musayeva
Keywords:  optimal control, second-order steady-state heat conduction equation, necessary optimality condition, domain boundary control, ill-posed problems
Page:  1371