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Finite propagation speed for first order systems and Huygens’ principle for hyperbolic equations

McIntosh, Alan; Morris, Andrew J.

Description

We prove that strongly continuous groups generated by first order systems on Riemannian manifolds have finite propagation speed. Our procedure provides a new direct proof for self-adjoint systems and allows an extension to operators on metric measure spaces. As an application, we present a new approach to the weak Huygens’ principle for second order hyperbolic equations.

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
URI: http://hdl.handle.net/1885/100231
Source: Proceedings of the American Mathematical Society
DOI: 10.1090/S0002-9939-2013-11661-8

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