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On the estimation from below of the hypersingular operator of peridynamics

TitleOn the estimation from below of the hypersingular operator of peridynamics
AuthorsS. N. Sheraliev1
1The branch of Moscow State University named after M.V. Lomonosov in Tashkent
AnnotationFor a hypersingular integral operator of the Calderon-Zygmund type associated with peridynamics problems, a lower bound is obtained. Thus, it is established that the estimate found earlier from above is precise.
Keywordssingular operators, Calderon-Zygmund inequality, peridynamics
CitationSheraliev S. N. ''On the estimation from below of the hypersingular operator of peridynamics'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 265-268. Available at: https://conf.svmo.ru/files/2023/papers/paper43.pdf. - Date of access: 04.12.2024.