具有传输和边界条件的波动方程的时间衰减估计

Pub Date : 2019-06-07 DOI:10.3336/GM.54.1.08

K. Mihalinci'c

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引用次数: 1

摘要

基于定相法，导出了一些波传播初值问题解的时间衰减估计。三维楔形波动方程的解和一维常势波动方程的解分别以t−1和t−1/2的形式衰减。讨论了结果对初始数据和物理意义的依赖性。

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Time decay estimates for wave equations with transmission and boundary conditions

Time decay estimates are derived for solutions of some initial value problems of wave propagation, based on the method of stationary phase. Solutions to three dimensional wave equation in wedges and one dimensional wave equation with a constant potential are shown to decay like t−1 and t−1/2, respectively. Dependencies of the results on initial data and physical implications are discussed.

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