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arXiv · 1201.1818

Finite Propagation Speed for First Order Systems and Huygens' Principle for Hyperbolic Equations

Alan McIntosh·Andrew J. Morris
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Abstract

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.

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Alan McIntosh, Andrew J. Morris. 2012-01-25. Finite Propagation Speed for First Order Systems and Huygens' Principle for Hyperbolic Equations. https://arxiv.org/abs/1201.1818

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