Inverse problems for memory kernels by Laplace transform methods

被引：0

作者：

Janno, J ^{[1
]}

von Wolfersdorf, L

机构：

[1] Tallinn Univ Technol, Inst Cybern, EE-12618 Tallinn, Estonia

[2] Techn Univ Freiberg, Bergakad Freiberg, Fak Math & Inf, D-09596 Freiberg, Germany

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2000年 / 19卷 / 02期

关键词：

inverse problems; memory kernels; heat conduction; viscoelasticity; Laplace transform;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Basic inverse problems for identification of memory kernels in linear heat conduction and viscoelasticity in the infinite time interval (0,infinity) are treated by Laplace transform method in coupling with Fourier's method for the direct initial-boundary value problem of the corresponding integro-differential equation. Under suitable assumptions on the data existence and uniqueness of the memory kernel are shown.

引用

页码：489 / 510

页数：22

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