Edge singular behavior for the heat equation on polyhedral cylinders in \(\mathbb R^3\) (Q1935442)
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scientific article; zbMATH DE number 6136717
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Edge singular behavior for the heat equation on polyhedral cylinders in \(\mathbb R^3\) |
scientific article; zbMATH DE number 6136717 |
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Edge singular behavior for the heat equation on polyhedral cylinders in \(\mathbb R^3\) (English)
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15 February 2013
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The heat equation in the polyhedral cylinder is considered. A priori estimates are obtained in not weighted Sobolev spaces. It is shown that the singular part of the solution is based on the representation of the corner singularity for the Poisson problem with zero Dirichlet boundary condition.
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edge singularity
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regularity
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stress intensity function
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