Mathematisches Seminar

Felix Früchtl (Technische Universität München): "Sturm-Liouville operator functions - Abstract Cauchy problems"

18.01.2016 von 16:30 bis 18:00

LMS 4 - Raum 423 - Konferenzraum

Ein Vortrag im Rahmen des Oberseminars Funktionalanalysis und Dynamische Systeme auf Einladung von Prof. Haase.

Abstract:
Many special functions are solutions of both, a differential and a functional equation. This duality lies at the heart of the theories of $C_O$-(semi)groups and cosine operator functions, which solve abstract Cauchy problems of first and second order, respectively. In this talk we will see that this principle is not limited to these special cases. Our general approach allows to investigate several types of abstract Cauchy problems. We focus on a class of abstract Sturm-Liouville equations and initiate a
theory of Sturm-Liouville operator functions.

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