Inverse-definiteness of the fourth-order symmetric differential operator. I (Q1882500)
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scientific article; zbMATH DE number 2104912
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverse-definiteness of the fourth-order symmetric differential operator. I |
scientific article; zbMATH DE number 2104912 |
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Inverse-definiteness of the fourth-order symmetric differential operator. I (English)
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1 October 2004
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For the ordinary differential operator \(L=D^4 + b D^2 + a\) with \(b^2>4a\), subject to periodic boundary conditions, the cases for which \(Lu\geq0\) implies either \(u\geq0\) or else \(u\leq0\) are classified. This relies on an explicit formula for Green's function.
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linear symmetric differential operator
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inverse definiteness
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Green's function
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