Università degli Studi di Padova

“Maxwell’s Equation as an Abstract Dynamic Friedrichs System”

Mercoledì 6 Aprile 2022, ore 17:30 - Zoom - Rainer Picard (TU Dresden, Germania)

Abstract

We shall inspect some aspects of Maxwell’s equations by presenting them within the framework of abstract Friedrichs systems. Since we will be concerned with time-dependence, we are indeed considering more specifically abstract dynamic Friedrichs systems. In the abstract setting we shall characterize time-independent boundary conditions leading to maximal accretive spatial operators. The abstract setting is then illustrated by a more detailled investigation of Maxwell’s equation in complex media. We conclude our presentation with some structural observations in connection with the so-called extended Maxwell system.