Periodic homogenization of convolution type operators with heavy tails
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866908313369706496 |
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| author | Piatnitski, Andrey Zhizhina, Elena |
| author_facet | Piatnitski, Andrey Zhizhina, Elena |
| contents | The paper deals with periodic homogenization of nonlocal symmetric convolution type operators in $L^2(\mathbb R^d)$,
whose kernel is the product of a density that belongs to the domain of attraction of an $α$-stable law
and a rapidly oscillating positive periodic function.
Assuming that the local oscillation of the said density satisfies a proper upper bound at infinity, we prove homogenization result for the studied family of operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08108 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Periodic homogenization of convolution type operators with heavy tails Piatnitski, Andrey Zhizhina, Elena Analysis of PDEs Functional Analysis The paper deals with periodic homogenization of nonlocal symmetric convolution type operators in $L^2(\mathbb R^d)$, whose kernel is the product of a density that belongs to the domain of attraction of an $α$-stable law and a rapidly oscillating positive periodic function. Assuming that the local oscillation of the said density satisfies a proper upper bound at infinity, we prove homogenization result for the studied family of operators. |
| title | Periodic homogenization of convolution type operators with heavy tails |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2504.08108 |