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| Main Author: | |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1904.09361 |
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| _version_ | 1866913357211107328 |
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| author | McCurdy, Sean |
| author_facet | McCurdy, Sean |
| contents | In this paper, we obtain \textit{quantitative} estimates on the fine structure of the singular set of the mutual boundary $\partial Ω^{\pm}$ for pairs of complementary domains, $Ω^+, Ω^- \subset \mathbb{R}^n$ which arise in a class of two-sided free boundary problems for harmonic measure. These estimates give new insight into the structure of the mutual boundary, $\partial Ω^{\pm}.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_09361 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | The Singular Strata of a Free-Boundary problem for harmonic measure McCurdy, Sean Analysis of PDEs In this paper, we obtain \textit{quantitative} estimates on the fine structure of the singular set of the mutual boundary $\partial Ω^{\pm}$ for pairs of complementary domains, $Ω^+, Ω^- \subset \mathbb{R}^n$ which arise in a class of two-sided free boundary problems for harmonic measure. These estimates give new insight into the structure of the mutual boundary, $\partial Ω^{\pm}.$ |
| title | The Singular Strata of a Free-Boundary problem for harmonic measure |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1904.09361 |