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Linear Wave Equations on Lorentzian Manifolds

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Publication:5748069
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zbMATH Open1206.53001arXiv1006.2354MaRDI QIDQ5748069

Christian Bär

Publication date: 14 September 2010

Abstract: This is a survey on the analytic theory of linear wave equations on globally hyperbolic Lorentzian manifolds. There is no claim of originality.


Full work available at URL: https://arxiv.org/abs/1006.2354



zbMATH Keywords

Cauchy problemLorentzian manifoldslinear wave equations


Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)



Related Items (5)

Propagation of a linear wave created by a spatially localized perturbation in a regular lattice and punctured Lagrangian manifolds ⋮ Wave equations on Lorentzian manifolds and quantization. ⋮ Standing waves in the Lorentz-covariant world ⋮ Wave equations and the Lebrun-Mason correspondence ⋮ Lorentz-invariant pseudo-differential wave equations






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