Some inverse problems for the diffusion equation

被引:36
作者
Isakov, V [1 ]
机构
[1] Wichita State Univ, Dept Math & Stat, Wichita, KS 67260 USA
关键词
D O I
10.1088/0266-5611/15/1/004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We outline some recent results about the uniqueness of recovery of some coefficients of parabolic partial differential equations when overdetermined data are prescribed at the final moment of time or on the lateral wall.
引用
收藏
页码:3 / 10
页数:8
相关论文
共 13 条
[1]   Boundary control in reconstruction of manifolds and metrics (the BC method) [J].
Belishev, MI .
INVERSE PROBLEMS, 1997, 13 (05) :R1-R45
[2]  
BOUCHOUEV L, 1997, INVERSE PROBL, V13, pL11
[3]   On an inverse diffusion problem [J].
Elayyan, A ;
Isakov, V .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1997, 57 (06) :1737-1748
[4]   On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation [J].
Elayyan, A ;
Isakov, V .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1997, 28 (01) :49-59
[5]  
Hoffmann KH., 1993, LECT NOTES PHYS, V422, P49, DOI [10.1007/3-540-57195-7_7, DOI 10.1007/3-540-57195-7_7]
[6]  
ISAKOV V, 1998, INVESE PROBLEMS PDE
[7]  
ISAKOV V, 1990, AMS MATH MONOGRAPHS, V34
[8]  
Isakovs V., 1991, COMMUN PURE APPL MAT, V54, P185
[9]   A fast and accurate imaging algorithm in optical/diffusion tomography [J].
Klibanov, MV ;
Lucas, TR ;
Frank, RM .
INVERSE PROBLEMS, 1997, 13 (05) :1341-1361
[10]  
PRILEPKO AI, 1987, DIFF EQUAT+, V23, P1341