Exact controllability for a wave equation with mixed boundary conditions in a non-cylindrical domain
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-04-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/101/abstr.html |
| Summary: | 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. |
|---|---|
| ISSN: | 1072-6691 |