| 제목 | Bôcher meets Liouville |
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| 일정 | 2026-07-02(목) 16:00~17:30 |
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| 세미나실 | 자연대 2호관 306호 |
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| 강연자 | 김민현 교수(한양대학교) |
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| 담당교수 | 윤형성 |
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| 기타 |
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제목: Bôcher meets Liouville
초록: The classical Liouville theorem states that every bounded entire function must be constant. In PDE context, this says that every nonnegative harmonic function in the whole space must be constant. This result was generalized by Bôcher in 1903. He proved that every nonnegative harmonic function in the punctured space must be a linear combination of the fundamental solution and a harmonic function in the whole space. In this talk, I will present several generalizations of these results to integro-differential operators modeled on the fractional Laplacian.