AN INVERSE PROBLEM FOR A NON-LINEAR DIFFUSION EQUATION

被引：77

作者：

CANNON, JR ^{[1
]}

DUCHATEAU, P ^{[1
]}

机构：

[1] COLORADO STATE UNIV,DEPT MATH,FT COLLINS,CO 80523

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1980年 / 39卷 / 02期

关键词：

D O I：

10.1137/0139024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The determination of an unknown diffusion coefficient in a nonlinear diffusion equation from overspecified data measured at the boundary is considered. This inverse problem is reformulated as an ″auxiliary inverse problem,″ where we seek a member of a class of admissible coefficients which minimizes a given error functional. It is shown that this auxiliary problem has at least one solution in a specified admissible class. Finally, the auxiliary problem is approximated by an associated identification problem and some numerical results are presented.

引用

页码：272 / 289

页数：18

共 9 条

[1]

CANNON J R, 1970, Mathematical Biosciences, V9, P61, DOI 10.1016/0025-5564(70)90093-3

[2]

CANNON JA, UNPUBLISHED

[3] DETERMINING UNKNOWN COEFFICIENTS IN A NONLINEAR HEAT-CONDUCTION PROBLEM [J].