On two methods of determining η-invariants of elliptic boundaryvalue problems
- Authors: Zhuikov K.N.1, Savin A.Y.1
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Affiliations:
- RUDN University
- Issue: Vol 70, No 3 (2024)
- Pages: 403-416
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/41140
- DOI: https://doi.org/10.22363/2413-3639-2024-70-3-403-416
- EDN: https://elibrary.ru/PSBLYU
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Abstract
For a class of boundary-value problems with a parameter that are elliptic in the sense of Agranovich-Vishik, we establish the equality of the η-invariant defined in terms of the Melrose regularization and the spectral η-invariant of the Atiyah-Patodi-Singer type defined using the analytic continuation of the spectral η-function of the operator.
About the authors
K. N. Zhuikov
RUDN University
Author for correspondence.
Email: zhuykovcon@gmail.com
Moscow, Russia
A. Yu. Savin
RUDN University
Email: a.yu.savin@gmail.com
Moscow, Russia
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