DETERMINATION OF A SPACEWISE DEPENDENT HEAT SOURCE IN BIHARMONIC HEAT EQUATION FROM FINAL TEMPERATURE MEASUREMENTS

被引：0

作者：

Ismailov, Mansur i. ^{[1
,2
]}

机构：

[1] Gebze Tech Univ, Dept Math, TR-41400 Kocaeli, Turkiye

[2] Khazar Univ, Ctr Math & Its Applicat, AZ-1096 Baku, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2024年 / 50卷 / 01期

关键词：

Biharmonic heat equation; Space-dependent heat source; Fourier method; DENSITY;

D O I：

10.30546/2409-4994.2024.50.1.126

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. The paper deals with the inverse problem associated with the biharmonic heat equation, aiming to recover a space -dependent heat source and the temperature distribution based on measurements of the final temperature. The study establishes both the existence and uniqueness of the classical solution, as well as the existence and uniqueness of the generalized solution. These results are attained through the application of the method of series expansion in terms of eigenfunctions for the Dirichlet bi-Laplacian.

引用

页码：126 / 132

页数：7

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