BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20180325T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20181028T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20191210T170730Z
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
END:VEVENT
END:VCALENDAR