Source inversion of heat conduction from a finite number of observation data

被引：6

作者：

Castro, L. P. ^{[1
]}

Chen, Q. ^{[1
]}

Saitoh, S. ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

APPLICABLE ANALYSIS | 2010年 / 89卷 / 06期

基金：

日本学术振兴会; 新加坡国家研究基金会;

关键词：

Gaussian convolution; Weierstrass transform; heat conduction; reproducing kernel; Paley-Wiener space; Tikhonov regularization;

D O I：

10.1080/00036810903569523

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with a backward heat conduction type problem. Namely, the Gaussian convolution is here analysed in a new way so that inverse source formulae to the heat conduction problem are obtained from a finite number of observation data at time and space points. In view of obtaining this main goal, different reproducing kernel Hilbert spaces, iteration schemes and Tikhonov regularization procedures are used and combined in an unified way.

引用

页码：801 / 813

页数：13

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