Anisotropic Hörmander Spaces on the Lateral Surface of a Cylinder

被引：0
|
作者：
Los’ V.M. [1 ,2 ]
机构：
[1] “Kyiv Polytechnic Institute” Ukrainian National Technical University, Peremoha Avenue, 37, Kyiv
[2] Chernihiv National Technological University, Shevchenko Str., 95, Chernihiv
来源：
Journal of Mathematical Sciences | 2016年 / 217卷 / 4期
关键词：
D O I：
10.1007/s10958-016-2985-9
中图分类号：
学科分类号：
摘要：
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. © 2016, Springer Science+Business Media New York.
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页码：456 / 467
页数：11
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