On a Priori Estimates and Fredholm Property of Differential Operators in Anisotropic Spaces

被引：0
|
作者：
A. A. Darbinyan
A. G. Tumanyan
机构：
[1] Russian-Armenian (Slavonic) University,
来源：
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) | 2018年 / 53卷
关键词：
Fredholm property; index of operator; a priori estimate; semielliptical operator; anisotropic space; 35H30; 47A53;
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学科分类号：
摘要：
The paper is devoted to special a priori estimates and Fredholm property of differential operators acting in anisotropic Sobolev spaces in ℝn. Necessary conditions for a priori estimates in terms of the symbol of an operator are obtained. Under appropriate conditions imposed on the coefficients, a priori estimates are obtained in the corresponding weighted spaces.
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页码：61 / 70
页数：9
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