Wave Equations on Non-smooth Space-times

DOI10.1007/978-3-0348-0454-7_9zbMath1262.58018arXiv1107.0014OpenAlexW1948843687MaRDI QIDQ4898785

Roland Steinbauer, Günther Hörmann, Michael Kunzinger

Publication date: 2 January 2013

Published in: Evolution Equations of Hyperbolic and Schrödinger Type (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0014

zbMATH Keywords

generalized solutionsCauchy problemwave equationsdistributional solutionsLorentzian manifoldsglobal hyperbolicity

Mathematics Subject Classification ID

Wave equation (35L05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)

Related Items (7)

Nonlinear generalized sections of vector bundles ⋮ Global hyperbolicity for spacetimes with continuous metrics ⋮ Geodesics in nonexpanding impulsive gravitational waves with Λ. II ⋮ Inverse Function Theorems for Generalized Smooth Functions ⋮ Wave Equations and Symmetric First-order Systems in Case of Low Regularity ⋮ The globally hyperbolic metric splitting for non-smooth wave-type space-times ⋮ A regularisation approach to causality theory for \(C^{1,1}\)-Lorentzian metrics

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