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DTSTART:20180325T030000
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DTSTART:20181028T020000
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BEGIN:VEVENT
DTSTAMP:20260406T000403Z
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
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Elliott Lieb: A Dual Form of the Sharp Nash Inequality and its Weig
 hted Generalization
URL:https://talks-calendar.ista.ac.at/events/1561
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