Optimal control of solutions of the Showalter-Sidorov-Dirichlet problem for the Boussinesq-Love equation

被引：0

作者：

A. A. Zamyshlyaeva

O. N. Tsyplenkova

机构：

[1] South Ural State University,

来源：

Differential Equations | 2013年 / 49卷

关键词：

Hilbert Space; Optimal Control Problem; Dirichlet Problem; Strong Solution; Sobolev Type;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An optimal control problem for a second-order Sobolev type equation with a relatively polynomially bounded operator pencil is considered. We prove the existence and uniqueness of a strong solution of the Showalter-Sidorov problem for this equation. Necessary and sufficient conditions for the existence and uniqueness of an optimal control of such solutions are obtained. We study the Showalter-Sidorov-Dirichlet problem for the Boussinesq-Love equation.

引用

页码：1356 / 1365

页数：9

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