Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation

Abstract

In this paper, we investigate the problem for optimal control of a viscous generalized θ\theta -type dispersive equation (VG θ\theta -type DE) with weak dissipation. First, we prove the existence and uniqueness of weak solution to the equation. Then, we present the optimal control of a VG θ\theta -type DE with weak dissipation under boundary condition and prove the existence of optimal solution to the problem.

Keywords

• optimal control
• viscous generalized θ-type dispersive equation
• weak dissipation
• existence and uniqueness
• weak solution
• 35d40
• 35q53
• 49j20
• 49l25
• 93c20