ON THE LOWER BOUND OF THE HYPERSINGULAR OPERATOR IN PERIDYNAMICS PROBLEMS

For a hypersingular integral operator of the Calderon–Zygmund type, related to peridynamics problems, a lower bound is obtained. Thus, it is established that the previously found upper bound is exact.

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Publication Details

Journal
Дифференциальные уравнения / Differential Equations
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034503025040091
Primary Topic
Numerical methods in engineering
Type
article
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0.00
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article

ON THE LOWER BOUND OF THE HYPERSINGULAR OPERATOR IN PERIDYNAMICS PROBLEMS

Shavkat Alimov
Дифференциальные уравнения / Differential Equations
Numerical methods in engineering
article

ON THE LOWER BOUND OF THE HYPERSINGULAR OPERATOR IN PERIDYNAMICS PROBLEMS

Shavkat Alimov
article en

Abstract

For a hypersingular integral operator of the Calderon–Zygmund type, related to peridynamics problems, a lower bound is obtained. Thus, it is established that the previously found upper bound is exact.

Дифференциальные уравнения / Differential EquationsVol. 61(4)
Openalex Percentile: Top 69%
Numerical methods in engineering
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ON THE LOWER BOUND OF THE HYPERSINGULAR OPERATOR IN PERIDYNAMICS PROBLEMS — Shavkat Alimov · Дифференциальные уравнения / Differential Equations (2025) | TGRS Research Map | TGRS