Martin-Luther-Universität Halle-Wittenberg


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09. Mai 2023

Nathanael Skrepek (TU Bergakademie Freiberg)

Semi-uniform stability of Maxwell’s equations via boundary feedback

We regard Maxwell's equations as a linear port-Hamiltion boundary control and observation system on a bounded Lipschitz domain. We apply a feedback control law that stabilizes the system in a semi-uniform manner without any further geometrically assumption on the domain. This will be achieved by seperating equilibriums from system and show that the remaining system is described by an operator with compact resolvent. Furthermore, we will apply a unique continuation priciple on the resolvent equation to show that there are no eigenvalues on the imaginary axis.

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