College of Applied Mathematics
Jilin University of Finance and Economics
Changchun 130117, China
email: cuilz924@126.com
School of Mathematics and Statistics
Northeast Normal University
Changchun 130024, China
email: hangg@nenu.edu.cn
Lizhi Cui, Hang Gao
Abstract:
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.
Submitted October 15, 2013. Published April 11, 2014.
Math Subject Classifications: 58J45, 35L05.
Key Words: Exact controllability; wave equation; mixed boundary conditions;
non-cylindrical domain.
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Lizhi Cui College of Applied Mathematics Jilin University of Finance and Economics Changchun 130117, China email: cuilz924@126.com |
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Hang Gao School of Mathematics and Statistics Northeast Normal University Changchun 130024, China email: hangg@nenu.edu.cn |
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