Positivity properties for the clamped plate boundary problem on the ellipse and strip (Q2892952)
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scientific article; zbMATH DE number 6049559
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positivity properties for the clamped plate boundary problem on the ellipse and strip |
scientific article; zbMATH DE number 6049559 |
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Positivity properties for the clamped plate boundary problem on the ellipse and strip (English)
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25 June 2012
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biharmonic operator
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positive polynomial data
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positive solutions
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Fischer operator
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The positivity preserving property for the biharmonic operator NEWLINE\[NEWLINE\Delta^2 u=f\quad \text{in } \Omega,\qquad u={{\partial u}\over{\partial \nu}}\quad \text{on } \partial \Omega NEWLINE\]NEWLINE is investigated. It is discussed the case where the domain is an ellipse (that may degenerate to a strip) and the data is a polynomial function. Various conditions for which the positivity is preserved are provided.
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