On the Fredholm Solvability of a Class of Hypoelliptic Operators with Variable Coefficients

The Fredholm property of regular hypoelliptic operators with special variable coefficients is studied. For this class of operators, a priori estimates are obtained and a Fredholm criterion is established in multianisotropic weighted Sobolev spaces on the whole $ {𝕉}^{n} $ .

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Publication Details

Journal
Siberian Mathematical Journal
Published
2026-03-01
DOI
https://doi.org/10.1134/s0037446626020126
Primary Topic
Numerical methods in inverse problems
Type
article
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article

On the Fredholm Solvability of a Class of Hypoelliptic Operators with Variable Coefficients

A. G. Tumanyan
Siberian Mathematical Journal
Numerical methods in inverse problems
article

On the Fredholm Solvability of a Class of Hypoelliptic Operators with Variable Coefficients

A. G. Tumanyan
article en

Abstract

The Fredholm property of regular hypoelliptic operators with special variable coefficients is studied. For this class of operators, a priori estimates are obtained and a Fredholm criterion is established in multianisotropic weighted Sobolev spaces on the whole $ {𝕉}^{n} $ .

Siberian Mathematical JournalVol. 67(2)
Russian-Armenian University (AM), St. Theresa's Medical University of Yerevan (AM)
Climate action
Openalex Percentile: Top 2%
Numerical methods in inverse problems
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