波动方程初边值问题的迟滞势和拉盖尔变换

2015 XXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED) Pub Date : 2015-09-01 DOI:10.1109/DIPED.2015.7324278

S. Litynskyy, A. Muzychuk

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引用次数: 1

摘要

本文利用延迟层势和关于时间变量的拉盖尔变换，研究了波动方程初边值问题的广义解。势密度的傅里叶-拉盖尔展开系数以显式形式得到。将时域内的积分方程简化为左侧具有相同边界算子的边界积分方程序列。

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Retarded potentials and Laguerre transform for initial-boundary value problems for the wave equation

Generalized solutions of initial-boundary value problems for the wave equation are investigated in this article by using retarded layer potentials and Laguerre transform with respect to the time variable. Coefficients of Fourier-Laguerre expansion for densities of potentials are obtained in explicit form. As a result, integral equations in time domain were reduced to sequences of boundary integral equations with the same boundary operator on the left-hand side.

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来源期刊

2015 XXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)

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