演講公告

演講主題：Singular Solutions to Some Semilinear Elliptic Equations: An Approach of Born-Infeld Approximation
主講人：謝佳佑博士 (香港中文大學數學系)
演講日期：2019 年12月10日(星期二) 14:00 –15:00
演講地點：(光復校區) 科學一館223室
茶會時間：2019 年12月10日 13:30 (科學一館205室)
摘要內容：
Abstract. We construct singular solutions to a semilinear elliptic equation with exponential nonlinearity on a bounded domain in R^2. To show the existence of singular solutions, we introduce an inverse problem and utilize a Born-Infeld approximation scheme. Ruling out a possible occurrence of bubbling phenomenon, we show that as the Born-Infeld parameter tends to infinity, solutions of the inverse problem on a subdomain with finitely many holes can be used to approximate singular solutions to the original problem. Our work rigorously justifies the Born-Infeld-Higgs approximation to the abelian Maxwell-Higgs theory. This is a joint work with Yong Yu and Ho Man Tai (CUHK).
相關檔案：Talk_1081210.pdf

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