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SUMMARY:Alex Barron (University of Illinois-Urbana Champaign)
DTSTART:20201026T160000Z
DTEND:20201026T165000Z
DTSTAMP:20260423T041508Z
UID:anpdews/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/39/"
 >A sharp global Strichartz estimate for the Schrodinger equation on the cy
 linder</a>\nby Alex Barron (University of Illinois-Urbana Champaign) as pa
 rt of HA-GMT-PDE Seminar\n\n\nAbstract\nThe classical Strichartz estimates
  show that a solution to the linear Schrodinger equation on Euclidean spac
 e is in certain Lebesgue spaces globally in time provided the initial data
  is in $L^2$. On compact manifolds one can no longer have global control\,
  and some loss of derivatives is necessary (meaning the initial data needs
  to be in a Sobolev space rather than $L^2$). In 'intermediate' cases it i
 s a challenging question to understand when one can have good space-time e
 stimates with no loss of derivatives. \n\nIn this talk we discuss a global
 -in-time Strichartz-type estimate for the linear Schrodinger equation on t
 he cylinder. Our estimate is sharp\, scale-invariant\, and requires only $
 L^2$ data. Joint work with M. Christ and B. Pausader.\n
LOCATION:https://researchseminars.org/talk/anpdews/39/
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