Unique continuation on convex domains

Unique continuation on convex domains
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凸域上的唯一延拓

DOI:
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发表时间:
2019
期刊:
Revista matemática iberoamericana
影响因子:
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通讯作者:
Sean McCurdy
Sean McCurdy
中科院分区:
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文献类型:
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作者:
Sean McCurdy

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在本文中,我们采用几何分析中的强大工具,对在凸域边界的开子集上连续消失的广义临界调和函数集的定量层进行定量估计。这些估计代表了凸情况下边界分析延拓的现有结果的显着改进。
In this paper, we adapt powerful tools from geometric analysis to get quantitative estimates on the quantitative strata of the generalized critical set of harmonic functions which vanish continuously on an open subset of the boundary of a convex domain. These estimates represent a significant improvement upon existing results for boundary analytic continuation in the convex case.
$$C^1$$-Dini域上的边界唯一延拓和奇异集的大小
DOI: 10.1007/s00205-022-01771-7
发表时间: 2022
影响因子: 2.5
作者:
Kenig, Carlos;Zhao, Zihui
通讯作者: Zhao, Zihui