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.

引用

页码：871 / 877

页数：7

共 50 条

[21] NOTE ON STRICHARTZ INEQUALITIES FOR THE WAVE EQUATION WITH POTENTIAL
Kim, Seongyeon
Seo, Ihyeok
Seok, Jihyeon
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (01): : 377 - 382
[22] NOTE ON THE APPLICATION OF VECTOR ANALYSIS TO THE WAVE EQUATION
HARTLEY, RVL
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1950, 22 (04): : 511 - 511
[23] TENSOR WAVE-EQUATION - MOVEMENT IN THE FIELD OF A FLAT ELECTROMAGNETIC-WAVE
BARBASHOV, BM
LEONOVICH, AA
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 3 FIZIKA ASTRONOMIYA, 1981, 22 (05): : 77 - 80
[24] A NOTE ON KRONECKER MATRIX PRODUCTS AND MATRIX EQUATION SYSTEMS
NEUDECKER, H
SIAM JOURNAL ON APPLIED MATHEMATICS, 1969, 17 (03) : 603 - +
[25] A note on tensor products of q-algebra representations and orthogonal polynomials
Kalnins, EG
Miller, W
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 68 (1-2) : 197 - 207
[26] A note on classical adjoint commuting linear maps of tensor products of matrices
Chooi, Wai Leong
Kwa, Kiam Heong
Lau, Jinting
LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (04): : 745 - 766
[27] ENERGY ESTIMATES FOR THE TENSOR WAVE-EQUATION IN A CURVED SPACETIME
SAKA, K
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1985, 34 (01) : 181 - 194
[28] Tensor Product and Certain Solutions of Fractional Wave Type Equation
Benkemache, Ibtisam
Al-horani, Mohammad
Khalil, Roshdi Rashid
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, 14 (03): : 942 - 948
[29] A note on chebyshev polynomials and finite difference wave equation
Grinshpan, Anatolii
Harmonic Analysis, Partial Differential Equations, and Related Topics, 2007, 428 : 57 - 60
[30] A note on "New travelling wave solutions to the Ostrovsky equation"
Parkes, E. J.
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3575 - 3577

← 1 2 3 4 5 →