Email this article Anisotropic Hörmander Spaces on the Lateral Surface of a Cylinder
- Authors: Los’ V.M.1,2
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Affiliations:
- “Kyiv Polytechnic Institute” Ukrainian National Technical University
- Chernihiv National Technological University
- Issue: Vol 217, No 4 (2016)
- Pages: 456-467
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238088
- DOI: https://doi.org/10.1007/s10958-016-2985-9
- ID: 238088
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Abstract
We introduce a class of anisotropic inner-product Hörmander spaces on the smooth lateral surface of a cylinder. These spaces do not depend on the choice of special local coordinates on the surface and can be obtained by interpolation with a function parameter between pairs of anisotropic Sobolev spaces. The introduced spaces naturally appear in the theory of parabolic differential equations.
About the authors
V. M. Los’
“Kyiv Polytechnic Institute” Ukrainian National Technical University; Chernihiv National Technological University
Email: Jade.Santos@springer.com
Ukraine, Peremoha Avenue, 37, Kyiv, 03056; Shevchenko Str., 95, Chernihiv, 14027
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