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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.18469 |
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| _version_ | 1866909032361492480 |
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| author | Lau, Aidan |
| author_facet | Lau, Aidan |
| contents | We prove quenched stochastic homogenization for divergence-form elliptic equations, under the assumption that the coefficients are stationary, ergodic, integrable, and satisfy a coarse-grained ellipticity assumption. The ellipticity assumption requires that the coefficients remain bounded in a negative regularity sense on large scales. As a corollary, we recover a sufficient joint integrability condition on the symmetric and skew-symmetric parts of the coefficient field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18469 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic homogenization of coarse-grained elliptic equations Lau, Aidan Analysis of PDEs We prove quenched stochastic homogenization for divergence-form elliptic equations, under the assumption that the coefficients are stationary, ergodic, integrable, and satisfy a coarse-grained ellipticity assumption. The ellipticity assumption requires that the coefficients remain bounded in a negative regularity sense on large scales. As a corollary, we recover a sufficient joint integrability condition on the symmetric and skew-symmetric parts of the coefficient field. |
| title | Stochastic homogenization of coarse-grained elliptic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.18469 |