Wave equations & energy

被引：0
|
作者：
Bray, William O. [1 ]
Hunter, Ellen [1 ]
机构：
[1] Missouri State Univ, Dept Math, 901 S Natl, Springfield, MO 65897 USA
来源：
AIMS MATHEMATICS | 2019年 / 4卷 / 03期
关键词：
wave equation; Sturm-Liouville problem; Sobolev space; energy conservation; energy equipartition;
D O I：
10.3934/math.2019.3.463
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The focus of this work is apply Fourier analytic methods based on Parseval's equality to the computation of kinetic and potential energy of solutions of initial boundary value problems for general wave type equations on a finite interval. As a consequence, an energy equipartion principle for the solution is obtained. Within our methods are some new results regarding eigenfunction expansions arising from regular Sturm-Liouville problems in Sobolev spaces.
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页码：463 / 481
页数：19
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