Exact boundary control for the wave equation in a polyhedral time-dependent domain (Q1808476)
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scientific article; zbMATH DE number 1369339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact boundary control for the wave equation in a polyhedral time-dependent domain |
scientific article; zbMATH DE number 1369339 |
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Exact boundary control for the wave equation in a polyhedral time-dependent domain (English)
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7 January 2001
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The exact boundary controllability for the wave equation in a moving polyhedral domain is obtained. The control is in \(L^2\) and acts as the conormal derivative associated with the wave operator. On the rigid part of the boundary it reduces to a Neumann condition. The approach is based on the Russell's well known method of extensions and on a trace result.
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boundary controllability
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wave equation
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time-dependent domain
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