EXACT CONTROLLABILITY FOR A WAVE EQUATION WITH MIXED BOUNDARY CONDITIONS IN A NON-CYLINDRICAL DOMAIN

被引：0

作者：

Cui, Lizhi ^{[1
,2
]}

Gao, Hang ^{[2
]}

机构：

[1] Jilin Univ Finance & Econ, Coll Appl Math, Changchun 130117, Peoples R China

[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Exact controllability; wave equation; mixed boundary conditions; non-cylindrical domain; STABILIZATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the exact controllability of a one-dimensional wave equation with mixed boundary conditions in a non-cylindrical domain. The fixed endpoint has a Dirichlet-type boundary condition, while the moving end has a Neumann-type condition. When the speed of the moving endpoint is less than the characteristic speed, the exact controllability of this equation is established by Hilbert Uniqueness Method. Moreover, we shall give the explicit dependence of the controllability time on the speed of the moving endpoint.

引用

页数：12

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