Applications of Tauberian theorems in some problems in mathematical physics

被引：0
|
作者：
Yu. N. Drozhzhinov
B. I. Zavyalov
机构：
[1] RAS,Steklov Mathematical Institute
来源：
Theoretical and Mathematical Physics | 2008年 / 157卷
关键词：
Tauberian theorem; generalized function; partial differential equation; holomorphic function; Schrödinger equation; Cauchy problem; Banach space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give some multidimensional Tauberian theorems for generalized functions and show examples of their application in mathematical physics. In particular, we consider the problems of stabilizing the solutions of the Cauchy problem for the heat kernel equation, multicomponent gas diffusion, and the asymptotic Cauchy problem for a free Schrödinger equation in the norms of different Banach spaces among others.
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页码：1678 / 1693
页数：15
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