Two variational inequality problems for the wave equation in a half-space (Q1288168)
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scientific article; zbMATH DE number 1286160
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two variational inequality problems for the wave equation in a half-space |
scientific article; zbMATH DE number 1286160 |
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Two variational inequality problems for the wave equation in a half-space (English)
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11 May 1999
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A simplified formulation for the dynamic crack and punch problems of the theory of elasticity is considered. This leads to the study of a hyperbolic variational inequality for the wave equation. The Fourier-Laplace transform in time and the Fourier transform in space reduce the original problem to a variational inequality for a pseudodifferential equation which is treated by elliptic regularization. Regular properties of solutions are studied.
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dynamic crack and punch problems
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Fourier-Laplace transform in time
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Fourier transform in space
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elliptic regularization
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