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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2020-11-01
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Series: | Open Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1515/math-2020-0075 |
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. |
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ISSN: | 2391-5455 |