A generalized diffusion equation

被引：0
|
作者：
Schmeelk, J [1 ]
机构：
[1] Virginia Commonwealth Univ, Dept Math Sci, Richmond, VA 23284 USA
来源：
SEVENTH INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL EQUATIONS, PROCEEDINGS | 1997年
关键词：
generalized diffusion equation; distributions; Beurling ultradistributions; operational methods;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A generalized space, Gamma(s,mu,M), and its dual are introduced where mu is a sequence of positive numbers, M is a space of continuous functions and s greater than or equal to 1. A generalized Laplacian operator, a, is introduced applied to functionals in Gamma(s,mu,M). Together with a classical time derivative the generalized diffusion equation is shown to have a local solution in a space, Gamma(s',mu,M) where s' greater than or equal to s.
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页码：363 / 370
页数：8
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