Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation

Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation

The aim of this talk is to describe a generalization of the classical Mourre theorem [M1] to the Krein space setting. Applications to the Klein–Gordon equation are given. The talk is based on joint work with Vladimir Georgescu and Christian Gérard. Details of the proofs can be found in [GGH1] and [G...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Häfner, Dietrich
Format: Buchkapitel
Sprache:eng
Schlagworte:
Differential equations
Functional analysis & transforms
functional calculus
Klein–Gordon equations
Krein spaces
Mathematical physics
Mathematics
Mourre theory
propagation estimates
resolvent estimates
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Beschreibung
Zusammenfassung:The aim of this talk is to describe a generalization of the classical Mourre theorem [M1] to the Krein space setting. Applications to the Klein–Gordon equation are given. The talk is based on joint work with Vladimir Georgescu and Christian Gérard. Details of the proofs can be found in [GGH1] and [GGH2].
ISSN:0255-0156
2296-4878
DOI:10.1007/978-3-319-29992-1_8