約束映射與自由邊界
作者 帕菲加利(Alessio Figalli)、格拉(André Guerra)、金成漢(Sunghan Kim) 與 沙格利安(Henrik Shahgholian)
作者簡介
菲加利是一位義大利數學家,主要的研究領域是變分學和偏微分方程。因其最佳傳輸問題及其在偏微分方程、度量幾何與機率的應用工作貢獻而聞名,並因此於 2018 年獲頒費爾茲獎。他現在是蘇黎世聯邦理工學院(ETH Zürich)的講座教授。
格拉是一位葡萄牙數學家,主要的研究領域是變分學和偏微分方程。他現在是蘇黎世聯邦理工學院理論研究所的初級研究員,指導教授是菲加利。
金成漢是一位韓國數學家,現在是瑞典烏普撒拉大學(Uppsala University)的博士後,主要的研究領域是偏微分方程。
沙格利安是瑞典皇家理工學院(KTH Royal Institute of Technology)的數學教授,他的研究主要集中在非線性偏微分方程的分析,特別著重於自由邊界問題及其正則性理論。
譯者 王夏聲
譯者簡介
王夏聲為陽明交通大學應用數學系副教授。
本文出處 本文譯自Alessio Figalli, André Guerra, Sunghan Kim, and Henrik Shahgholian, “Constraint Maps and Free Boundaries”, ]Notices of the AMS 72（2025）No. 5, AMS。© American Mathematical Society 2008. All rights reserved。感謝 AMS 與作者們同意轉載翻譯。
延伸閱讀
本刊第27期的〈一位非常多產的數學家──卡法瑞里〉一文，在這篇文章裡也有關於自由邊界問題正則性理論的介紹。
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