ON NOETHERICITY AND INDEX OF DIFFERENTIAL OPERATORS IN ANISOTROPIC WEIGHTED SOBOLEV SPACES

Authors

  • A.G. Tumanyan Chair of Mathematics and Mathematical Modeling, RAU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2016.50.3.063

Keywords:

Noetherian operator, index of operator, weighted Sobolev spaces

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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Published

2016-10-26

How to Cite

Tumanyan, A. (2016). ON NOETHERICITY AND INDEX OF DIFFERENTIAL OPERATORS IN ANISOTROPIC WEIGHTED SOBOLEV SPACES. Proceedings of the YSU A: Physical and Mathematical Sciences, 50(3 (241), 63–69. https://doi.org/10.46991/PYSU:A/2016.50.3.063

Issue

Vol. 50 No. 3 (241) (2016)

Section

Mathematics

License

Copyright (c) 2016 Proceedings of the YSU

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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