An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions

被引：43

作者：

Ismailov, Mansur I. ^{[1
]}

Kanca, Fatma ^{[2
]}

机构：

[1] Gebze Inst Technol, Dept Math, TR-41400 Gebze, Turkey

[2] Kocaeli Univ, Dept Math, TR-41380 Kocaeli, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 06期

关键词：

parabolic equation; inverse problem; nonorthogonal systems of functions; nonlocal boundary conditions; integral overdetermination condition;

D O I：

10.1002/mma.1396

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary and overdetermination conditions is considered. The existence, uniqueness and continuous dependence upon the data are studied. Some considerations on the numerical solution for this inverse problem are presented with the examples. Copyright (C) 2011 John Wiley & Sons, Ltd.

引用

页码：692 / 702

页数：11

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