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
收藏
页码：29 / 43
页数：15
相关论文
共 50 条
12345