SINGULAR SOLUTIONS OF ELLIPTIC-EQUATIONS AND THE DETERMINATION OF CONDUCTIVITY BY BOUNDARY MEASUREMENTS

被引：129

作者：

ALESSANDRINI, G

机构：

[1] Istituto di Matematica, Facoltà di Ingegneria, Università di Ancona, Ancona, Via delle Brecce Bianche

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1990年 / 84卷 / 02期

关键词：

D O I：

10.1016/0022-0396(90)90078-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We improve some results on uniqueness and stability in the determination of the coefficient a in the equation (i) div(a grad u) = 0 in Ω, when all possible pairs of Dirichlet and Neumann data on ∂Ω are known. We also treat cases of anisotropic equations. Our method relies on the construction of solutions to (i) having an isolated singularity with prescribed asymptotic behaviour. © 1990.

引用

页码：252 / 272

页数：21

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