ON AN OPTIMAL STARTING CONTROL PROBLEM FOR DEGENERATE PARABOLIC EQUATION

Abstract

An optimal control problem for degenerate parabolic equation with mixed boundary conditions are considered. Having applied the Hardy - Poincare inequality, it is shown that this problem has a unique optimal solution in the correspondence weighted Sobolev space. The necessary optimality conditions are derived and substantiated.

Keywords

• стартове керування
• нерівність Харді - Пуанкаре
• параболічне рівняння
• необхідні умови оптимальності