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On the Lower Bound of the Hypersingular Operatorin Peridynamics Problems

Sh. A. AlimovRomanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100170, UzbekistanSh. N. SheralievTashkent Branch, Lomonosov Moscow State University, Tashkent, 100060, Uzbekistan
Differential Equationsjournal2025en

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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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