On the Partial Differential Equations with Non-Constant Coefficients and Convolution Method

被引：0

作者：

Kilicman, Adem ^{[1
]}

Eltayeb, Hassan

机构：

[1] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2010年 / 3卷 / 01期

关键词：

PDE with constant coefficients; polynomial coeeficients; double convolution; double Laplace transform;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study we consider the linear second order partial differential equations with non-homogenous forcing term and having singular variable data. In the special case we solve the one dimensional wave equation by using the double integral transform.

引用

页码：45 / 50

页数：6

共 50 条

[41] A New Extension of Boundary Elements Method for Classical Elliptic Partial Differential Equations with Constant Coefficients
Hosseinzadeh, H.
Taherkhani, M. A.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 31 (06) : 2027 - 2042
[42] FORMS OF ENTIRE SOLUTIONS OF PARTIAL DIFFERENTIAL DIFFERENCE EQUATIONS WITH CONSTANT COEFFICIENTS
Ding, Xin
Zheng, Xiu Min
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (37) : 1 - 15
[43] CONTINUATION OF REGULAR SOLUTIONS OF PARTIAL-DIFFERENTIAL EQUATIONS CONSTANT COEFFICIENTS
KANEKO, A
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1974, 26 (01) : 92 - 123
[44] GROUP INVARIANCE OF LINEAR PARTIAL-DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
HAINZL, J
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1975, 59 (02) : 149 - 158
[45] LINEAR STOCHASTIC PARTIAL-DIFFERENTIAL EQUATIONS WITH CONSTANT-COEFFICIENTS
FUJITA, Y
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1988, 28 (02): : 301 - 310
[46] On the multisummability of divergent solutions of linear partial differential equations with constant coefficients
Michalik, Slawomir
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (03) : 551 - 570
[47] EXISTENCE OF REAL ANALYTIC SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
HORMANDER, L
INVENTIONES MATHEMATICAE, 1973, 21 (03) : 151 - 182
[48] EXISTENCE OF SOLUTIONS FOR SYSTEM OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
SHIMADA, Y
PROCEEDINGS OF THE JAPAN ACADEMY, 1971, 47 (06): : 545 - &
[49] NON-ADMISSIBLE DATA FOR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
JOHN, F
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1957, 10 (03) : 391 - 398
[50] On Korn's first inequality with non-constant coefficients
Neff, P
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2002, 132 : 221 - 243

← 1 2 3 4 5 →