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;

D O I：

暂无

中图分类号：

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.

引用

页码：61 / 70

页数：9

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