Global existence and stability for wave equation of Kirchhoff type with memory condition at the boundary (Q1400271)
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scientific article; zbMATH DE number 1963673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence and stability for wave equation of Kirchhoff type with memory condition at the boundary |
scientific article; zbMATH DE number 1963673 |
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Global existence and stability for wave equation of Kirchhoff type with memory condition at the boundary (English)
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13 August 2003
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The authors consider in a cylindrical domain the mixed problem for the Kirchhoff equation with a strong damping. On one part of the lateral surface of a cylinder the Dirichlet condition and on the rest of the surface a memory type condition are given. Global existence and decay of the energy are proved.
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Kirchhoff equation
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cylindrical domain
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strong damping
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decay of the energy
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