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학술대회/행사

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제출번호(No.) 0198
분류(Section) Contributed Talk
분과(Session) (AN) Analysis (AN)
발표시간(Time) 19th-A-10:20 -- 10:40
영문제목
(Title(Eng.))
Properties of the free boundaries for the obstacle problems
저자(Author(s))
Jinwan Park1, Ki-Ahm Lee2, Sunghoon Kim3
Kongju National University1, Seoul National University2, The Catholic University of Korea3
초록본문(Abstract) In this talk, I will introduce various properties in the obstacle problems.

The obstacle problems are typical examples of the free boundary problem and arise in porous media, elasto-plasticity, optimal control, and financial mathematics. In the last decades, many properties of the obstacle problems have been studied by L. Caffarelli, K.-A. Lee, A. Figalli, H. Shahgholian, and various researchers. In this talk, I will introduce the regularity theory and other properties in obstacle problems to several operators.
분류기호
(MSC number(s))
35K65, 35K15, 35R35
키워드(Keyword(s)) Porous medium equations, free boundary problem, obstacle problem, regularity theory
강연 형태
(Language of Session (Talk))
Korean