Optimal control for a degrated parabolic-hyperbolic equation with semi-dened quality criteria

Abstract

In this paper we study the optimal control problem for a degrated parabolic-hyperbolic equation with variable coecients for the semi-dened quality criteria. We derive conditions for the existence and uniqueness of solutions of the initial boundary value problem. For the optimal control problem the conditions of existence and uniqueness of solutions are found.

Keywords

• оптимальное управление
• параболо–гиперболическое уравнение
• краевая задача
• полуопределенный критерий качества