Petrovskii elliptic systems in the extended Sobolev scale (Q460567)
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scientific article; zbMATH DE number 6354785
| Language | Label | Description | Also known as |
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| English | Petrovskii elliptic systems in the extended Sobolev scale |
scientific article; zbMATH DE number 6354785 |
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Petrovskii elliptic systems in the extended Sobolev scale (English)
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13 October 2014
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In this interesting paper the authors study the Petrovskii elliptic systems of linear differential equations on a closed smooth manifold. They investigate the properties of the solutions in the extended Sobolev scale. More precisely the authors consider all Hilbert spaces that are interpolation spaces with respect to the Hilbert Sobolev scale. Thanks to a priori estimate for solutions, the authors are able to prove the existence of solutions and their local regularity.
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Petrovskii elliptic system
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extended Sobolev scale
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Hörmander space
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RO-varying function
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interpolation with functional parameter
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a priori estimate of a solution
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local regularity of a solution
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