| 제목 | From Differential Equations to Generalized Schauder Theory: Reading the Smoothness of Functions through Taylor Expansion |
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| 일정 | 2026년 7월 2일 (목) 14:30 ~ 16:00 |
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| 세미나실 | 자연대 2호관 306호 |
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| 강연자 | 김탁원 교수 (성신여자대학교) |
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| 담당교수 | 윤형성 |
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제목: From Differential Equations to Generalized Schauder Theory: Reading the Smoothness of Functions through Taylor Expansion
초록: The first tool we encounter when describing natural phenomena is the differential equation. Just as in Newton's law of motion, a differential equation is an equation expressing the relationship between an unknown function and its rate of change (its derivative). Following a single question — "How smooth is the solution of a differential equation?" — this lecture aims to reach, using only the tools learned in calculus, the doorstep of generalized Schauder theory, a branch of the modern theory of partial differential equations.