Optimal codomains for the Laplace operator and the product Laplace operator

被引：1
|
作者：
Alvarez, Josefina [1 ]
Moyo, Lloyd Edgar S.
机构：
[1] New Mexico State Univ, Dept Math, Las Cruces, NM 88003 USA
[2] Sul Ross State Univ, Dept Math, Alpine, TX 79832 USA
来源：
JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2007年 / 5卷 / 03期
关键词：
s'-convolution; Laplace operator and product Laplace; operator; weighted distribution spaces;
D O I：
10.1155/2007/257051
中图分类号：
学科分类号：
摘要：
An optimal codomain for an operator P (a) with fundamental solution E, is a maximal space of distributions T for which it is possible to define the convolution E * T and thus to solve the equation P (0) S = T. We identify optimal codomains for the Laplace operator in the Euclidean case and for the product Laplace operator in the product domain case. The convolution is understood in the sense of the S'-convolution.
引用
收藏
页码：269 / 285
页数：17
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