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UID:20251121T075433EST-5511BJL7Og@132.216.98.100
DTSTAMP:20251121T125433Z
DESCRIPTION:L^p estimates for eigenfunctions on manifolds with boundary\n\n
 Abstract: Measuring the L^p mass of an eigenfunction allows us to determin
 e its concentration properties. On a manifold without boundary such estima
 tes follow from short time properties of the wave or semiclassical Schrödi
 nger propagators. However the presence of a boundary opens the possibility
  for multiple reflections even in short time. This will lead to greater co
 ncentration of the eigenfunction (displayed by higher L^p norms). It is kn
 own\, for example\, that the whispering gallery modes show this higher con
 centration. In this talk I will introduce a method of studying the boundar
 y L^p problem semiclassically by considering an exact solution to the boun
 dary problem and an approximate solution to the ambient Helmholtz equation
 .\n\n \n
DTSTART:20170220T183000Z
DTEND:20170220T193000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Melissa Tacy (ANU) 
URL:/mathstat/channels/event/melissa-tacy-anu-266395
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