演講者：黃柏鈞教授 ( 國立清華大學數學系 )

日   期：2025 年 02 月 12 日（星期三）13:30

地   點：國立高雄大學理學院 408 室

講   題：微分方程解的存在唯一性理論：研究成果與教學經驗分享

摘   要：

The title of my presentation is "Existence and Uniqueness Theory for Differential Equation Solutions: Research Achievements and Teaching Experience Sharing." The abstract covers the following key points:

1. Introduction and Background: A brief overview of my personal experiences, the schools at which I have taught, the courses I have taught, and an introduction to my research interests;
2. Research Achievements: An illustration of my work using the paper "The Robin Problems for the Coupled System of Reaction–Diffusion Equations" as an example. In this study, we investigate the local well-posedness of Turing-type reaction–diffusion equations with Robin boundary conditions in Sobolev spaces. By employing the Hadamard norm, we derive estimates for the Fokas unified transform solutions and use the contraction mapping theorem to establish uniqueness. The presentation will also outline future research directions and potential extensions of this work;
3. Teaching Experience Sharing: A discussion on my teaching philosophy and methods, complemented by recent teaching evaluation outcomes.