Elliptic homogenization from qualitative to quantitative
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866914951129464832 |
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| author | Armstrong, Scott Kuusi, Tuomo |
| author_facet | Armstrong, Scott Kuusi, Tuomo |
| contents | We give a self-contained introduction to the theory of elliptic homogenization for random coefficient fields, starting from classical qualitative homogenization. The presentation also contains new results, such as optimal estimates (both in terms of stochastic moments and scaling of the error) for coefficient fields which are local functions of Gaussian random fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_06488 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Elliptic homogenization from qualitative to quantitative Armstrong, Scott Kuusi, Tuomo Analysis of PDEs Probability We give a self-contained introduction to the theory of elliptic homogenization for random coefficient fields, starting from classical qualitative homogenization. The presentation also contains new results, such as optimal estimates (both in terms of stochastic moments and scaling of the error) for coefficient fields which are local functions of Gaussian random fields. |
| title | Elliptic homogenization from qualitative to quantitative |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2210.06488 |