Christian Engström: Spectral properties of second- and third-order differential equations with memory

Abstract:

Differential equations with memory are common in many areas of physics, including electromagnetics, viscoelasticity, and modeling of high-intensity ultrasound. In this talk, we consider sufficient conditions for the accumulation of branches of eigenvalues to the essential spectrum and spectral enclosures. The focus is on Maxwell’s equations and the Moore-Gibson-Thompson equation with an exponentially decaying memory.