Adam Black (Yale)

Title: Dispersion for Coulomb wave functions

Abstract: We study the Sch\"{o}dinger equation with a repulsive Coulombic potential on $\mathbb{R}^3$ . For radial data, we obtain an $L^1\rightarrow L^\infty$ dispersive estimate with the natural decay rate $t^{-\frac{3}{2}}. Our proof uses the spectral theory of strongly singular potentials to obtain an expression for the evolution kernel. A semiclassical turning point analysis of the kernel then allows the time decay to be extracted via oscillatory integral estimates. This is joint work with E. Toprak, B. Vergara, and J. Zou.

Where: CRM, Université de Montréal, Pavillon André-Aisenstadt, room 5340, and by Zoom (see link below)

Join Zoom Meeting

https://us06web.zoom.us/j/83180453914?pwd=RQnoWH7aQqXAxldXZsqdafFCmh7dBC.1

Meeting ID: 831 8045 3914

Passcode: 719821