Email this article On a Priori Estimates and Fredholm Property of Differential Operators in Anisotropic Spaces
- Authors: Darbinyan A.A.1, Tumanyan A.G.1
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Affiliations:
- Russian-Armenian (Slavonic) University
- Issue: Vol 53, No 2 (2018)
- Pages: 61-70
- Section: Functional Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228143
- DOI: https://doi.org/10.3103/S1068362318020012
- ID: 228143
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Abstract
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.
About the authors
A. A. Darbinyan
Russian-Armenian (Slavonic) University
Author for correspondence.
Email: arman.darbinyan@rau.am
Armenia, Yerevan
A. G. Tumanyan
Russian-Armenian (Slavonic) University
Email: arman.darbinyan@rau.am
Armenia, Yerevan
