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

DOI10.1007/978-3-319-29992-1_8zbMath1402.35192OpenAlexW2499796660MaRDI QIDQ4555531

Dietrich Häfner

Publication date: 20 November 2018

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-29992-1_8

zbMATH Keywords

resolvent estimatesfunctional calculusKlein-Gordon equationsMourre theoryKrein spacespropagation estimates

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) Quantum scattering theory (81U99)

Cites Work

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• Scattering theory for Klein-Gordon equations with non-positive energy
• Spectral theory of the Klein-Gordon equation in Pontryagin spaces
• A proof of the abstract limiting absorption principle by energy estimates
• Spectral analysis of second-order elliptic operators on noncompact manifolds
• Superradiance and scattering of the charged Klein-Gordon field by a step-like electrostatic potential
• Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy
• Boundary values of resolvents of selfadjoint operators in Krein spaces
• On Commutators and Jacobi Matrices
• Spectral Theory of the Klein–Gordon Equation in Krein Spaces
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians

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