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O gipersingulyarnykh operatorakh, svyazannykh s peridinamikoy
- Authors: Alimov S.A1, Sheraliev S.N2
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Affiliations:
- National University of Uzbekistan
- Tashkent Branch, Lomonosov Moscow State University
- Issue: Vol 59, No 7 (2023)
- Pages: 914-918
- Section: Articles
- URL: https://kld-journal.fedlab.ru/0374-0641/article/view/649500
- DOI: https://doi.org/10.31857/S0374064123070051
- EDN: https://elibrary.ru/GUHJTY
- ID: 649500
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Abstract
For a hypersingular integral operator of the Calderón–Zygmund type associated with problems of peridynamics, we find a Hilbert space that is taken by this operator to the space of square integrable periodic functions.
About the authors
Sh. A Alimov
National University of Uzbekistan
Email: sh_alimov@mail.ru
Tashkent, 100174, Uzbekistan
Sh. N Sheraliev
Tashkent Branch, Lomonosov Moscow State University
Author for correspondence.
Email: shuhrat2500@mail.ru
Tashkent, 100060, Uzbekistan
References
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- Alimov Sh., Sheraliev Sh. On the solvability of the singular equation of peridynamics // Complex Variables and Elliptic Equat. 2019. V. 64. № 5. P. 873-887.
- Ильин В.А. Спектральная теория дифференциальных операторов. Самосопряжённые дифференциальные операторы. М., 1991.
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