On the optimal control problem for the Novikov equation with strong viscosity
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- 作者：Jiangbo Zhoua ; ujszjb@126.com" class="auth_mail" title="E-mail the corresponding author ; Xiaoqing Yanga ; Junde Chena ; Wenbin Zhangb
- 关键词：Optimal control ; The Novikov equation ; First-order necessary optimality condition ; Second-order sufficient optimality condition
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2016
- 出版时间：15 January 2016
- 年：2016
- 卷：433
- 期：2
- 页码：1084-1109
- 全文大小：481 K
文摘
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The existence of a unique weak solution to the viscous Novikov equation is obtained.
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The existence of an optimal solution to the optimal control problem is shown.
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The first-order necessary optimality condition is deduced.
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Two second-order sufficient optimality conditions are established.