Finite propagation speed for first order systems and Huygens’ principle for hyperbolic equations
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.
|Collections||ANU Research Publications|
|Source:||Proceedings of the American Mathematical Society|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.