Geometric Regularization on Riemannian and Lorentzian Manifolds

DOI10.1007/978-3-0348-0454-7_5zbMath1259.58007arXiv1107.0010OpenAlexW1626263615MaRDI QIDQ4898781

Shantanu Dave, 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/1107.0010

zbMATH Keywords

regularization of distributionsalgebras of generalized functionscomplete Riemannian manifoldsglobally hyperbolic Lorentz manifolds

Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Perturbations of PDEs on manifolds; asymptotics (58J37)

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