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

共 50 条

[1] On a Priori Estimates and Fredholm Property of Differential Operators in Anisotropic Spaces
Darbinyan, A. A.
Tumanyan, A. G.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2018, 53 (02): : 61 - 70
[2] Generalized Fredholm property and a priori estimates for linear operators on tensor products of Hilbert spaces
V. S. Pilidi
Mathematical Notes, 1998, 64 : 778 - 786
[3] Generalized Fredholm property and a priori estimates for linear operators on tensor products of Hilbert spaces
Pilidi, VS
MATHEMATICAL NOTES, 1998, 64 (5-6) : 778 - 786
[4] On the Fredholm Property of Semielliptic Operators in Anisotropic Weighted Spaces in Rn
Tumanyan, A.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2021, 56 (03): : 168 - 181
[5] A Priori Estimates and Fredholm Criteria for a Class of Regular Hypoelliptic Operators
Tumanyan A.G.
Siberian Advances in Mathematics, 2023, 33 (2) : 151 - 164
[6] On invertibility and the Fredholm property of parabolic differential operators
Baskakov, AG
DOKLADY MATHEMATICS, 2002, 65 (02) : 245 - 247
[7] Fredholm property of pseudo-differential operators on weighted Holder-Zygmund spaces
Rabinovich, V. S.
Pseudo-Differential Operators and Related Topics, 2006, 164 : 95 - 114
[8] The Fredholm property of pseudo differential operators with non-smooth symbols on modulation spaces
Rabinovich, Vladimir S.
Roch, Steffen
EXTENDED FIELD OF OPERATOR THEORY, 2007, 171 : 259 - +
[9] A PRIORI ESTIMATES FOR FIRST-ORDER DIFFERENTIAL OPERATORS
EGOROV, YV
DOKLADY AKADEMII NAUK SSSR, 1969, 185 (03): : 507 - &
[10] Ordinary differential operators in Hilbert spaces and Fredholm pairs
Alberto Abbondandolo
Pietro Majer
Mathematische Zeitschrift, 2003, 243 : 525 - 562

← 1 2 3 4 5 →