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 -t...

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Bibliographic Details
Main Authors: Fan Guobing, Yang Zhifeng
Format: Article
Language:English
Published: De Gruyter 2020-11-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2020-0075
Description
Summary: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.
ISSN:2391-5455