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TZID:Europe/Vienna
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DTSTART:20200329T030000
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DTSTART:20191027T020000
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DTSTAMP:20260405T000530Z
UID:5b4d8fb0870db300220452@ist.ac.at
DTSTART:20200116T160000
DTEND:20200116T180000
DESCRIPTION:Speaker: Mathieu Lewin\nhosted by Robert Seiringer\nAbstract: I
 n this talk I will discuss a generalization of the usual nonlinear Schrdin
 ger equation to systems of $N$ orthonormal functions. We can prove the exi
 stence of ground states for infinitely many $N$'s (including $N=2$) when t
 he exponent $p$ of the nonlinearity is less than $\\min(2\,1+2/d)$\, in di
 mension $d\\geq1$. On the contrary\, in dimension $d=1$ we show that there
  is no minimizer for all $N\\geq2$ when $p=2$. Links with best constants i
 n the Lieb-Thirring inequality will also be mentioned. Based on joint work
 s with Rupert L. Frank\, David Gontier & Faizan Q. Nazar.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Mathieu Lewin: The nonlinear Schrödinger equation for orthonormal 
 functions
URL:https://talks-calendar.ista.ac.at/events/2364
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