Friday, October 23, 2020 1:00 PM
Maciej Zworski (Berkeley)

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.