The APDE seminar on Monday, 09/28, will be given by Maciej Zworski online via Zoom from 4:10 to 5pm. To participate, email Georgios Moschidis (gmoschidis@berkeley.edu) or Federico Pasqualotto (fpasqualotto@berkeley.edu).

Title: Outgoing property via Gevrey regularity.

Abstract: One of the main issues in theoretical and numerical scattering theory is distinguishing outgoing parts of solutions modeling scattered waves. That is then closely related to defining scattering resonances. Motivated by the study of quasi-normal modes in general relativity, Gajic and Warnick have recently proposed an approach to characterising outgoing solutions based on Gevrey-2 regularity at infinity and introduced a new class of potentials for which resonances can be defined. In joint work with Galkowski we show that standard methods based on complex scaling apply to a slightly larger class of potentials and provide a definition of resonances in larger angles.