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...

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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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description 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].
doi_str_mv 10.1007/978-3-319-29992-1_8
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source Springer Books
subjects Differential equations
Functional analysis & transforms
functional calculus
Klein–Gordon equations
Krein spaces
Mathematical physics
Mathematics
Mourre theory
propagation estimates
resolvent estimates
title Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation
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