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TZID:Europe/Vienna
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DTSTART:20180325T030000
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DTSTART:20181028T020000
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BEGIN:VEVENT
DTSTAMP:20190217T092657Z
UID:59c8cf07a204f016020954@ist.ac.at
DTSTART:20181025T160000
DTEND:20181025T180000
DESCRIPTION:Speaker: Elliott Lieb\nhosted by Robert Seiringer\nAbstract: Th
e well known duality between the Sobolev inequality and the Hardy-Littlewo
od-Sobolev inequality suggests that the Nash inequality could also have an
interesting dual form\, even though the Nash inequality relates three nor
ms instead of two. We provide such a dual form here with sharp constants.
This dual inequality relates the L^2 norm to the infimal convolution of th
e L^\\infty and H^{-1} norms. The computation of this infimal convolution
is a minimization problem\, which we solve explicitly\, thus providing a n
ew proof of the sharp Nash inequality itself. This proof\, via duality\, a
lso yields the sharp form of some new\, weighted generalizations of the Na
sh inequality as well as the dual of these weighted variants. (Joint work
with Eric Carlen.)
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:A Dual Form of the Sharp Nash Inequality and its Weighted Generaliz
ation
URL:https://talks-calendar.app.ist.ac.at/events/1561
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