Homogenization of nonlocal spectral problems
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866917577811296256 |
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| author | Piatnitski, Andrey Rybalko, Volodymyr |
| author_facet | Piatnitski, Andrey Rybalko, Volodymyr |
| contents | We study asymptotic behavior of the bottom point of the spectrum of convolution type operators in environments with locally periodic microstructure. We show that its limit is described by an additive eigenvalue problem for Hamilton-Jacobi equation. In the periodic case we establish a more accurate two-term asymptotic formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16576 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homogenization of nonlocal spectral problems Piatnitski, Andrey Rybalko, Volodymyr Analysis of PDEs We study asymptotic behavior of the bottom point of the spectrum of convolution type operators in environments with locally periodic microstructure. We show that its limit is described by an additive eigenvalue problem for Hamilton-Jacobi equation. In the periodic case we establish a more accurate two-term asymptotic formula. |
| title | Homogenization of nonlocal spectral problems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.16576 |