Observability and Controllability of the 1-D Wave Equation in Domains with Moving Boundary |
| |
Authors: | Abdelmouhcene Sengouga |
| |
Institution: | 1.Laboratory of Functional Analysis and Geometry of Spaces,University of M’sila,M’sila,Algeria |
| |
Abstract: | By mean of generalized Fourier series and Parseval’s equality in weighted \(L^{2}\)-spaces, we derive a sharp energy estimate for the wave equation in a bounded interval with a moving endpoint. Then, we show the observability, in a sharp time, at each of the endpoints of the interval. The observability constants are explicitly given. Using the Hilbert Uniqueness Method we deduce the exact boundary controllability of the wave equation. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|