PostDoctoral Research Fellowship

博士后研究奖学金

• 批准号: 1902756
• 负责人: Zihui Zhao
• 金额: $ 15万
• 依托单位: Zhao, Zihui
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-08-01 至 2023-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1902756&HistoricalAwards=false
• 关键词: PostDoctoral; Research; Fellowship

This award is made as part of the FY 2019 Mathematical Sciences Postdoctoral Research Fellowships Program. Each of the fellowships supports a research and training project at a host institution in the mathematical sciences, including applications to other disciplines, under the mentorship of a sponsoring scientist. The title of the project for this fellowship to Zihui Zhao is "Harmonic/elliptic measure and boundary behavior of solutions to elliptic PDEs." The host institution for the fellowship is University of Chicago, and the sponsoring scientist is Carlos Kenig.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项是2019财年数学科学博士后研究奖学金计划的一部分。在赞助科学家的指导下，每个奖学金都支持数学科学机构的研究和培训项目，包括对其他学科的申请。该项目的Zihui Zhao项目的标题是“谐波/椭圆措施和椭圆pdes解决方案的边界行为”。奖学金的主持机构是芝加哥大学，赞助科学家是卡洛斯·肯尼格（Carlos Kenig）。该奖项反映了NSF的法定任务，并且使用基金会的知识分子优点和更广泛的影响评估标准，被认为值得通过评估。

项目成果

Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains

消失弦弧域中具有 Hölder 连续系数的椭圆算子的最优泊松核正则性

• DOI: 10.1016/j.jfa.2023.110025
• 发表时间: 2023
• 期刊: Journal of Functional Analysis
• 影响因子: 1.7
• 作者: Bortz, S.;Toro, T.;Zhao, Z.
• 通讯作者: Zhao, Z.

Boundary Unique Continuation on $$C^1$$-Dini Domains and the Size of the Singular Set

$$C^1$$-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
• 期刊: Archive for Rational Mechanics and Analysis
• 影响因子: 2.5
• 作者: Kenig, Carlos;Zhao, Zihui
• 通讯作者: Zhao, Zihui

Examples of non-Dini domains with large singular sets

具有大奇异集的非 Dini 域的示例

• DOI: 10.1515/ans-2022-0058
• 发表时间: 2023
• 期刊: Advanced Nonlinear Studies
• 影响因子: 1.8
• 作者: Kenig, Carlos;Zhao, Zihui
• 通讯作者: Zhao, Zihui

Expansion of harmonic functions near the boundary of Dini domains

Dini 域边界附近调和函数的展开

• DOI: 10.4171/rmi/1380
• 发表时间: 2022
• 期刊: Revista Matemática Iberoamericana
• 作者: Kenig, Carlos;Zhao, Zihui
• 通讯作者: Zhao, Zihui

Elliptic measures for Dahlberg–Kenig–Pipher operators: asymptotically optimal estimates

Dahlberg–Kenig–Pipher 算子的椭圆测度：渐近最优估计

• DOI: 10.1007/s00208-022-02363-2
• 发表时间: 2023
• 期刊: Mathematische Annalen
• 影响因子: 1.4
• 作者: Bortz, S.;Toro, T.;Zhao, Z.
• 通讯作者: Zhao, Z.