The operator \(B^*L\) for the wave equation with Dirichlet control (Q1773543)
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scientific article; zbMATH DE number 2163679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The operator \(B^*L\) for the wave equation with Dirichlet control |
scientific article; zbMATH DE number 2163679 |
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The operator \(B^*L\) for the wave equation with Dirichlet control (English)
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29 April 2005
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Summary: In the case of the wave equation, defined on a sufficiently smooth bounded domain of arbitrary dimension, and subject to Dirichlet boundary control, the operator \(B^*L\) from boundary to boundary is bounded in the \(L_2\)-sense. The proof combines hyperbolic differential energy methods with a microlocal elliptic component. This is a corrigendum and addendum to the authors' paper [ibid. 2003, No. 19, 1061--1139 (2003; Zbl 1064.35100)].
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hyperbolic differential energy methods
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microlocal elliptic component
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