ON IDENTIFICATION OF MEMORY KERNELS IN LINEAR-THEORY OF HEAT-CONDUCTION

被引：29

作者：

VONWOLFERSDORF, L

机构：

[1] Tu Bergakademie Freiberg, Fakultät Für Mathematik Und Informatik, Freiberg

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1994年 / 17卷 / 12期

关键词：

D O I：

10.1002/mma.1670171202

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A linear integrodifferential equation describing the heat flow in a material with memory is considered. This equation contains a pair of time-dependent convolution kernels that are unknown. Such kernels are determined as solutions of an optimal control problem by using additional data obtained from measurements of average temperature around some fixed points of the domain over some finite time interval. We show the existence of an optimal solution of this problem and derive optimality conditions for it.

引用

页码：919 / 932

页数：14

共 50 条

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