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SUMMARY:Well-posedness and parabolic smoothing effect for higher order Sch
rÃ¶dinger type equations with constant coefficients
DTSTART;VALUE=DATE-TIME:20201022T083000Z
DTEND;VALUE=DATE-TIME:20201022T093000Z
DTSTAMP;VALUE=DATE-TIME:20220524T045602Z
UID:indico-event-6309@indico.math.cnrs.fr
DESCRIPTION:\nWe consider the Cauchy problem of a class of higher order Sc
hrÃ¶dinger type equations with constant coefficients. By employing the ene
rgy inequality\, we show the L^2 well-posedness\, the parabolic smoothing\
, the twisted parabolic smoothing and a breakdown of the persistence of re
gularity. We classify this class of equations into three types on the basi
s of their smoothing property. This talk is based on the preprint titled t
he same as above (arXiv:2009.01049) by the speaker and Kotaro Tsugawa (Chu
o university).\n\n\nhttps://indico.math.cnrs.fr/event/6309/
LOCATION:Tours E1180
URL:https://indico.math.cnrs.fr/event/6309/
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