Null controllability of some degenerate wave equations
Optimization and Control
2015-11-23 v3
Abstract
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.
Cite
@article{arxiv.1509.00545,
title = {Null controllability of some degenerate wave equations},
author = {Muming Zhang and Hang Gao},
journal= {arXiv preprint arXiv:1509.00545},
year = {2015}
}
Comments
14 pages, 1 figure