Note on the wave equation and tensor products

被引：0
|
作者：
Kilicman, Adem [1 ,2 ]
Eltayeb, Hassan [3 ]
机构：
[1] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia
[2] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia
[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 03期
关键词：
Convolution product; Tensor product; Fundamental solution; Non-homogenous equation; Distribution; Delta function; DISTRIBUTIONS; CONVOLUTION; TRANSFORM;
D O I：
10.1016/j.amc.2011.01.060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study we apply convolution and tensor products of distribution to solve the non-homogenous wave equation with initial condition and discuss the uniqueness and continuity of solution. We also show that the tensor product can be applied to compute the some singular integrals. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.
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页码：871 / 877
页数：7
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