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。每项奖学金都支持数学科学主办机构的研究和培训项目，包括在赞助科学家的指导下应用于其他学科。赵子辉的该研究项目的标题是“椭圆偏微分方程解的调和/椭圆测度和边界行为”。该奖学金的主办机构是芝加哥大学，赞助科学家是卡洛斯·凯尼格。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，认为值得支持。

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: 2023-09
• 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: 2022-07
• 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

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: 2023-02
• 期刊: Mathematische Annalen
• 影响因子: 1.4
• 作者: Bortz, S.;Toro, T.;Zhao, Z.
• 通讯作者: Zhao, Z.

Two phase free boundary problem for Poisson kernels

泊松核的两相自由边界问题

• DOI: 10.1512/iumj.2022.71.8771
• 发表时间: 2022-01
• 期刊: Indiana University Mathematics Journal
• 影响因子: 1.1
• 作者: Bortz, Simon;Engelstein, Ma;Goering, Ma;Toro, Tatiana;Zhao, Zihui
• 通讯作者: Zhao, Zihui

Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition

满足Carleson测度条件的一致可整流性和椭圆算子

• DOI: 10.1007/s00039-021-00566-4
• 发表时间: 2021-04
• 期刊: Geometric and Functional Analysis
• 影响因子: 2.2
• 作者: Hofmann, Steve;Martell, José María;Mayboroda, Svitlana;Toro, Tatiana;Zhao, Zihui
• 通讯作者: Zhao, Zihui