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CATEGORIES:Analysis Seminar
SUMMARY:The pointwise convergence problem for the one dime
nsional SchrÃ¶dinger equation describing infinitely
many particles - Shohei Nakamura (Tokyo Metropoli
tan University)
DTSTART:20191126T140000Z
DTEND:20191126T150000Z
UID:TALK3995AT
URL:/talk/index/3995
DESCRIPTION:This talk is based on the joint work with Professo
rs Neal Bez and Sanghyuk Lee. Due to Bourgain (201
6) and Du-Zhang (2018)\, Carleson's problem for th
e SchrÃ¶dinger propagator is almost solved up to en
dpoint. These results can be regarded as the conve
rgence problem for one particle. Our motivation in
this talk is what if you consider the system of m
any particles. I will explain our progress to this
(vague) question. Our result has a close link wit
h the Strichartz estimate for the orthonormal syst
em input.
LOCATION:Lecture Theatre B\, Watson Building
CONTACT:Alessio Martini
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