FINITE PROPAGATION SPEED FOR FIRST ORDER SYSTEMS AND HUYGENS' PRINCIPLE FOR HYPERBOLIC EQUATIONS

被引：0
|
作者：
Mcintosh, Alan [1 ]
Morris, Andrew J. [2 ]
机构：
[1] Australian Natl Univ, Ctr Math & Its Applicat, Canberra, ACT 0200, Australia
[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 10期
基金：
澳大利亚研究理事会;
关键词：
Finite propagation speed; first order systems; C-0; groups; Huygens' principle; hyperbolic equations; SQUARE-ROOT PROBLEM; FUNCTIONAL CALCULI; COSINE FUNCTIONS; KATO;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：3515 / 3527
页数：13
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