Null controllability of some degenerate wave equations

被引：0

作者：

Muming Zhang

Hang Gao

机构：

[1] Northeast Normal University,School of Mathematics and Statistics

来源：

Journal of Systems Science and Complexity | 2017年 / 30卷

关键词：

Controllability; degenerate wave equation; Fourier expansion; observability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to a study of the null controllability problems for one-dimensional linear degenerate wave equations through a boundary controller. First, the well-posedness of linear degenerate wave equations is discussed. Then the null controllability of some degenerate wave equations is established, when a control acts on the non-degenerate boundary. Different from the known controllability results in the case that a control acts on the degenerate boundary, any initial value in state space is controllable in this case. Also, an explicit expression for the controllability time is given. Furthermore, a counterexample on the controllability is given for some other degenerate wave equations.

引用

页码：1027 / 1041

页数：14

共 30 条

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