Douglis-Nirenberg elliptic systems in Hörmander spaces (Q362492)
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scientific article; zbMATH DE number 6200341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Douglis-Nirenberg elliptic systems in Hörmander spaces |
scientific article; zbMATH DE number 6200341 |
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Douglis-Nirenberg elliptic systems in Hörmander spaces (English)
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22 August 2013
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The paper deals with uniformly elliptic systems of Douglis-Nirenberg type in the settings of the Hörmander Hilbert spaces \(H^\varphi\), where \(\varphi\) is an arbitrary RO-varying function of scalar argument. The authors establish an a priori estimate for the solutions and study their interior regularity. Moreover, a sufficient condition is obtained under which these systems possess the Fredholm property.
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elliptic system
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Hörmander space
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regularity
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