| Issue |
ITM Web Conf.
Volume 49, 2022
International Conference on Applied Mathematics and Numerical Methods – fourth edition (ICAMNM 2022)
|
|
|---|---|---|
| Article Number | 01007 | |
| Number of page(s) | 13 | |
| Section | Applied Mathematics | |
| DOI | https://doi.org/10.1051/itmconf/20224901007 | |
| Published online | 16 November 2022 | |
Fredholm property of regular hypoelliptic operators on the scales of multianisotropic spaces
1
Russian-Armenian University
2
Siemens Digital Industries Software
* e-mail: ani.tumanyan92@gmail.com
This paper studies the Fredholm properties for a class of regular hypoelliptic operators. We establish necessary and sufficient conditions for a priori estimates for differential operators acting in multianisotropic Sobolev spaces in Rn. Fredholm criteria and index invariance are obtained for a wide class of regular hypoelliptic operators on the special scales of multianisotropic weighted spaces.
Key words: regular hypoelliptic operator / Fredholm property / multianisotropic space
© The Authors, published by EDP Sciences, 2022
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