OS Partielle Differentialgleichungen: Exponential Stability for Evolutionary Equations
Wann
Donnerstag, 9. November 2017
15:15 bis 16:45 Uhr
Wo
F 426
Veranstaltet von
Vortragende Person/Vortragende Personen:
Dr. Sascha Trostorff (TU Dresden)
Diese Veranstaltung ist Teil der Veranstaltungsreihe „Oberseminar Partielle Differentialgleichungen“.
Abstract: We discuss exponential stability in the framework of evolutionary equations, a class of linear operator equations which comprises classical partial di fferential equations of mathematical physics, certain delay-equations, integro-di fferential equations as well as diff erential-algebraic equations. The main problem is to defi ne a suitable notion for exponential stability, as the solutions of evolutionary equations are not continuous in general. Hence the classical pointwise de finition for exponential decay does not work. With the right defi nition at hand, we prove a characterisation result for exponential stability similar to the famous Gearhart-Prüß Theorem in the framework of C_0-semigroups.