Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy

DOI10.4171/JST/93zbMath1326.35212arXiv1303.4610MaRDI QIDQ2347242

Vladimir Georgescu, Christian Gérard, Dietrich Häfner

Publication date: 27 May 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4610

zbMATH Keywords

Krein spaces

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) A priori estimates in context of PDEs (35B45) Abstract hyperbolic equations (35L90) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (11)

A comparison of the Georgescu and Vasy spaces associated to the \(N\)-body problems and applications ⋮ Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation ⋮ On the adiabatic limit of Hadamard states ⋮ Spectral properties for the Klein-Gordon Hamiltonian in charged black hole backgrounds ⋮ Boundary values of resolvents of selfadjoint operators in Krein spaces ⋮ A Gutzwiller trace formula for stationary space-times ⋮ Scattering theory for the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordström spacetime ⋮ Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes ⋮ Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric ⋮ The Hartle–Hawking–Israel state on spacetimes with stationary bifurcate Killing horizons ⋮ Relatively bounded perturbations of \(J\)-non-negative operators

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