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Minkowski-Type Estimates on the Quantitative Strata of the Generalized Critical Set of Green's Functions for Two-Sided NTA Domains Arising from a Free-Boundary Problem for Harmonic Measure
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Minkowski-Type Estimates on the Quantitative Strata of the Generalized Critical Set of Green's Functions for Two-Sided NTA Domains Arising from a Free-Boundary Problem for Harmonic Measure. |
| 개인저자 | McCurdy, Sean. |
| 단체저자명 | University of Washington. Mathematics. |
| 발행사항 | [S.l.]: University of Washington., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 175 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-03B. Dissertation Abstract International |
| ISBN | 9781088304594 |
| 학위논문주기 | Thesis (Ph.D.)--University of Washington, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-03, Section: B.
Advisor: Toro, Tatiana. |
| 이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
| 요약 | In this work, we prove three things. The main results are two different results on Minkowski-type estimates on the quantitative strata of the generalized critical set of Green's functions of 2-Sided NTA domains arising from a free-boundary problem for harmonic measure. The first uses simpler techniques and obtains weaker results. The second employs much more complicated machinery and obtains a much stronger result which completely subsumes the results of the first approach. The third result contained in this work is the construction of two families of rectifiable sets which fail to be uniformly rectifiable as dramatically as possible which still retaining nice topological and measure theoretic properties. This third result is independent of the first two, and represents joint work with Max Goering. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
