Pointwise convergence along restricted directions for the fractional Schrödinger equation

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Pointwise convergence along restricted directions for the fractional Schrödinger equation

수리과학부 0 2519
구분 조화 해석학 세미나
일정 2019-03-26(화) 17:30~18:30
세미나실 27동 116호
강연자 Shobu Shiraki (Saitama University)
담당교수 이상혁
기타
강연시간: 17:30~18:20 We consider the pointwise convergence problem for the solution of Schrödinger-type equations along directions determined by a given compact subset of the real line. This problem contains Carleson`s problem, which has been recently very actively studied and has progressed a lot, as the most simple case and was studied in general by Cho--Lee--Vargas. I will talk about my recent work that extends their result from the case of the classical Schrödinger equation to a class of equations which includes the fractional Schrödinger equations.

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