Large-scale boundary estimates of parabolic homogenization over rough boundaries
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909387902156800 |
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| author | Yu, Pengxiu Zhang, Yiping |
| author_facet | Yu, Pengxiu Zhang, Yiping |
| contents | In this paper, for a family of second-order parabolic system or equation with rapidly oscillating and time-dependent periodic coefficients over rough boundaries, we obtain the large-scale boundary estimates, by a quantitative approach. The quantitative approach relies on approximating twice: we first approximate the original parabolic problem over rough boundary by the same equation over a non-oscillating boundary and then approximate the oscillating equation over a non-oscillating boundary by its homogenized equation over the same non-oscillating boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08362 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large-scale boundary estimates of parabolic homogenization over rough boundaries Yu, Pengxiu Zhang, Yiping Analysis of PDEs In this paper, for a family of second-order parabolic system or equation with rapidly oscillating and time-dependent periodic coefficients over rough boundaries, we obtain the large-scale boundary estimates, by a quantitative approach. The quantitative approach relies on approximating twice: we first approximate the original parabolic problem over rough boundary by the same equation over a non-oscillating boundary and then approximate the oscillating equation over a non-oscillating boundary by its homogenized equation over the same non-oscillating boundary. |
| title | Large-scale boundary estimates of parabolic homogenization over rough boundaries |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.08362 |