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EnglishWe consider the wave equation in a bounded region with a smooth boundary with distributed delay on the boundary or into the domain. In both cases, under suitable assumptions, we prove the expo- nential stability of the solution. These results are obtained by introduc- ing suitable energies and by proving some observability inequalities. For an internal distributed delay, we further show some instability results.
| Titolo: | Stabilization of the wave equation with boundary or internal distributed delay |
| Autori: | |
| Data di pubblicazione: | 2008 |
| Rivista: | |
| Abstract: | We consider the wave equation in a bounded region with a smooth boundary with distributed delay on the boundary or into the domain. In both cases, under suitable assumptions, we prove the expo- nential stability of the solution. These results are obtained by introduc- ing suitable energies and by proving some observability inequalities. For an internal distributed delay, we further show some instability results. |
| Handle: | http://hdl.handle.net/11697/13591 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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