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On the Lower Bound of the Hypersingular Operatorin Peridynamics Problems

Sh. A. AlimovNational University of Uzbekistan, Tashkent, 100174, UzbekistanSh. N. SheralievTashkent Branch, Lomonosov Moscow State University, Tashkent, 100060, Uzbekistan
Differential Equationsjournal2025en
ABI

Abstract

A lower bound is obtained for a hypersingular integral operator of the Calderón–Zygmund type, related to peridynamics problems. It is established that the previously found upper bound is exact.

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