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UID:20251008T153330EDT-4516vuiP4p@132.216.98.100
DTSTAMP:20251008T193330Z
DESCRIPTION:Title: Dispersion for Coulomb wave functions\n\nAbstract: We st
 udy the Sch\'{o}dinger equation with a repulsive Coulombic potential on $\
 mathbb{R}^3$ . For radial data\, we obtain an $L^1\rightarrow L^\infty$ di
 spersive estimate with the natural decay rate $t^{-\frac{3}{2}}. Our proof
  uses the spectral theory of strongly singular potentials to obtain an exp
 ression for the evolution kernel. A semiclassical turning point analysis o
 f the kernel then allows the time decay to be extracted via oscillatory in
 tegral estimates. This is joint work with E. Toprak\, B. Vergara\, and J. 
 Zou.\n\nWhere: CRM\, Université de Montréal\, Pavillon André-Aisenstadt\, 
 room 5340\, and by Zoom (see link below)\n\nJoin Zoom Meeting\n\nhttps://u
 s06web.zoom.us/j/83180453914?pwd=RQnoWH7aQqXAxldXZsqdafFCmh7dBC.1\n\nMeeti
 ng ID: 831 8045 3914\n\nPasscode: 719821\n
DTSTART:20240328T183000Z
DTEND:20240328T193000Z
SUMMARY:Adam Black (Yale)
URL:/mathstat/channels/event/adam-black-yale-356399
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