RAS MathematicsДифференциальные уравнения Differential Equations

  • ISSN (Print) 0374-0641
  • ISSN (Online) 3034-5030

O gipersingulyarnykh operatorakh, svyazannykh s peridinamikoy

PII
10.31857/S0374064123070051-1
DOI
10.31857/S0374064123070051
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 59 / Issue number 7
Pages
914-918
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.
Keywords
Date of publication
19.09.2025
Year of publication
2025
Number of purchasers
0
Views
11

References

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  2. 2. Calderon A.P., Zygmund A. On the existence of certain singular integrals // Acta Math. 1952. V. 88. P. 85-139.
  3. 3. Тихонов А.Н., Самарский А.А. Уравнения математической физики. М., 1999.
  4. 4. Ильин В.А. Ядра дробного порядка // Мат. сб. 1957. Т. 41 (83). № 4. С. 459-480.
  5. 5. 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.
  6. 6. Ильин В.А. Спектральная теория дифференциальных операторов. Самосопряжённые дифференциальные операторы. М., 1991.
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