INVERSE PROBLEM FOR THE NONLINEAR HEAT-EQUATION WITH THE FINAL OVERDETERMINATION

被引：13

作者：

SAVATEEV, EG ^{[1
]}

RIGANTI, R ^{[1
]}

机构：

[1] POLITECN TORINO, TURIN, ITALY

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1995年 / 22卷 / 01期

关键词：

NONLINEAR INVERSE PROBLEMS; ONE-DIMENSIONAL HEAT EQUATION;

D O I：

10.1016/0895-7177(95)00098-M

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An inverse problem for the one-dimensional heat equation with a nonlinear term and an unknown space-dependent coefficient is considered when, in addition to initial and boundary conditions, a solution at the final moment of time is given. Existence and uniqueness results are proven, and a numerical method for the explicit determination of the solution to the said inverse problem is also developed.

引用

页码：29 / 43

页数：15

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