Decay Properties of Invariant Measure and Application to Elliptic Homogenization of Non-divergence Form with an Interface
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912494603206656 |
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| author | Yu, Pengxiu Zhang, Yiping |
| author_facet | Yu, Pengxiu Zhang, Yiping |
| contents | Using the self-contained PDE analysis, this paper investigates the existence and the decay properties of the invariant measure in elliptic homogenization of non-divergence form with an interface assumptions on the leading coefficient $A$ and the drift $b$ for $b_1\equiv 0$, which partially provides an alternative proof of the previous work by Hairer and Manson [Ann. Probab. 39(2011) 648-682]. Moreover, as a direct application after using the analysis by the second author [Calc. Var. Partial Differ. Equ. 64(2025) No. 114], we obtain the quantitative estimates for the homogenization problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15536 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decay Properties of Invariant Measure and Application to Elliptic Homogenization of Non-divergence Form with an Interface Yu, Pengxiu Zhang, Yiping Analysis of PDEs Using the self-contained PDE analysis, this paper investigates the existence and the decay properties of the invariant measure in elliptic homogenization of non-divergence form with an interface assumptions on the leading coefficient $A$ and the drift $b$ for $b_1\equiv 0$, which partially provides an alternative proof of the previous work by Hairer and Manson [Ann. Probab. 39(2011) 648-682]. Moreover, as a direct application after using the analysis by the second author [Calc. Var. Partial Differ. Equ. 64(2025) No. 114], we obtain the quantitative estimates for the homogenization problem. |
| title | Decay Properties of Invariant Measure and Application to Elliptic Homogenization of Non-divergence Form with an Interface |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.15536 |