On a resolvent estimate of the Stokes equation on an infinite layer. (Q1396426)
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scientific article; zbMATH DE number 1943321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a resolvent estimate of the Stokes equation on an infinite layer. |
scientific article; zbMATH DE number 1943321 |
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On a resolvent estimate of the Stokes equation on an infinite layer. (English)
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30 June 2003
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The authors establish the weak solvability of the title problem, and prove standard \(L_p\) estimates for the solution. The proof is based on a partial Fourier transform which reduces the original problem to a two-point boundary value problem for a system of ordinary differential equations with parameter. Then an application of Agmon-Douglis-Nirenberg type estimates of singular integrals provides the desired result.
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\(L_p\) estimate
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Agmon-Douglis-Nirenberg estimates
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partial Fourier transform
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singular integrals
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0.97970223
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0.96523535
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0.9469937
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0.9210167
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0.91944975
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0.91363287
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