A duality theorem for solutions of elliptic equations (Q921241)
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scientific article; zbMATH DE number 4165453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A duality theorem for solutions of elliptic equations |
scientific article; zbMATH DE number 4165453 |
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A duality theorem for solutions of elliptic equations (English)
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1990
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The set of all solutions of \[ Lu=0\text{ in } \Omega \text{ and } L^*u=0\text{ in } \Omega \] are considered. Here L is a uniformly elliptic operator, \(L^*\) its adjoint and \(\Omega \subset {\mathbb{R}}^ n\), \(u\geq 2.\) In the topology of uniform convergence on compact subsets the two solution sets are compared.
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adjoint operator
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solution sets
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0.9065304
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