2016; Physical and Mathematical Sciences, 50(3 (241): 63–69
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ON NOETHERICITY AND INDEX OF DIFFERENTIAL OPERATORS IN ANISOTROPIC WEIGHTED SOBOLEV SPACES

Ani Tumanyan*

Received: 2025-02-11 · Published: 2016-10-26

© 2016 The Author(s) and the original publisher.

CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
ON NOETHERICITY AND INDEX OF DIFFERENTIAL OPERATORS IN ANISOTROPIC WEIGHTED SOBOLEV SPACES
Author
Ani Tumanyan
Published
2016-10-26
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2016.50.3.063

Abstract

This paper studies Noethericity and index in anisotropic weighted Sobolev spaces in Rm. Sufficient conditions are established for Noethericity preservation in weighted spaces. Applying the results obtained for operators acting in weighted Sobolev spaces, sufficient condition for semi-elliptic operator to have zero index is found.
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