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

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成果类型:
期刊论文
作者:
Fan, Guobing;Yang, Zhifeng*
通讯作者:
Yang, Zhifeng
作者机构:
[Fan, Guobing] Hunan Univ Finance & Econ, Sch Math & Stat, 139 2nd Fenglin Rd, Changsha 410205, Hunan, Peoples R China.
[Yang, Zhifeng] Hengyang Normal Univ, Sch Math & Stat, Hengyang 421008, Hunan, Peoples R China.
通讯机构:
[Yang, Zhifeng] H
Hengyang Normal Univ, Sch Math & Stat, Hengyang 421008, Hunan, Peoples R China.
语种:
英文
关键词:
optimal control;viscous generalized theta-type dispersive equation;weak dissipation;existence and uniqueness;weak solution
期刊:
Open Mathematics
ISSN:
2391-5455
年:
2020
卷:
18
期:
1
页码:
1302-1316
基金类别:
Hunan Provincial Education DepartmentHunan Provincial Education Department [17A029, 18A440]; National Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11671128]; Hengyang Normal University [16D01]; Application-oriented Special Disciplines; Double First-Class University Project of Hunan Province under Xiangjiaotong [[2018] 469]
机构署名:
本校为通讯机构
院系归属:
数学与统计学院
摘要:
In this paper, we investigate the problem for optimal control of a viscous generalized theta-type dispersive equation (VG 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 theta-type DE with weak dissipation under boundary condition and prove...

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