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

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.

Abstract licence: CC BY

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