Applications of Tauberian theorems in some problems in mathematical physics

被引：7

作者：

Drozhzhinov, Yu. N. ^{[1
]}

Zavyalov, B. I. ^{[1
]}

机构：

[1] RAS, VA Steklov Math Inst, Moscow 117901, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2008年 / 157卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Tauberian theorem; generalized function; partial differential equation; holomorphic function; Schrodinger equation; Cauchy problem; Banach space;

D O I：

10.1007/s11232-008-0140-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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 Schrodinger equation in the norms of different Banach spaces among others.

引用

页码：1678 / 1693

页数：16

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[1] Applications of Tauberian theorems in some problems in mathematical physics
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B. I. Zavyalov
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