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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-11-01
|
| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2020-0075 |
| id |
doaj-1d61d7ebe79a48b7b4e55c8b91d62284 |
|---|---|
| record_format |
Article |
| spelling |
doaj-1d61d7ebe79a48b7b4e55c8b91d622842021-09-06T19:20:12ZengDe GruyterOpen Mathematics2391-54552020-11-011811302131610.1515/math-2020-0075math-2020-0075Optimal control of a viscous generalized θ-type dispersive equation with weak dissipationFan Guobing0Yang Zhifeng1School of Mathematics and Statistics, Hunan University of Finance and Economics, 139, 2nd Fenglin Road, Yuelu District, Changsha, 410205, Hunan Province, P. R. ChinaSchool of Mathematics and Statistics, Hengyang Normal University, Zhuhui District, Hengyang, 421008, Hunan Province, P. R. ChinaIn 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.https://doi.org/10.1515/math-2020-0075optimal controlviscous generalized θ-type dispersive equationweak dissipationexistence and uniquenessweak solution35d4035q5349j2049l2593c20 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fan Guobing Yang Zhifeng |
| spellingShingle |
Fan Guobing Yang Zhifeng Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation Open Mathematics optimal control viscous generalized θ-type dispersive equation weak dissipation existence and uniqueness weak solution 35d40 35q53 49j20 49l25 93c20 |
| author_facet |
Fan Guobing Yang Zhifeng |
| author_sort |
Fan Guobing |
| title |
Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation |
| title_short |
Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation |
| title_full |
Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation |
| title_fullStr |
Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation |
| title_full_unstemmed |
Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation |
| title_sort |
optimal control of a viscous generalized θ-type dispersive equation with weak dissipation |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2020-11-01 |
| description |
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. |
| topic |
optimal control viscous generalized θ-type dispersive equation weak dissipation existence and uniqueness weak solution 35d40 35q53 49j20 49l25 93c20 |
| url |
https://doi.org/10.1515/math-2020-0075 |
| work_keys_str_mv |
AT fanguobing optimalcontrolofaviscousgeneralizedthtypedispersiveequationwithweakdissipation AT yangzhifeng optimalcontrolofaviscousgeneralizedthtypedispersiveequationwithweakdissipation |
| _version_ |
1717777039289745408 |