Global uniqueness in the impedance-imaging problem for less regular conductivities

被引：55

作者：

Brown, RM

机构：

[1] Department of Mathematics, University of Kentucky, Lexington

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1996年 / 27卷 / 04期

关键词：

inverse problem; Dirichlet-to-Neumann map; impedance imaging; Besov space;

D O I：

10.1137/S0036141094271132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If L gamma = div gamma Delta is an elliptic operator with scalar coefficient gamma, we show that we can recover the coefficient gamma from the Dirichlet-to-Neumann map under the assumption that gamma has only 3/2 + epsilon derivatives. Previously, the best result required gamma to have two derivatives.

引用

收藏

页码：1049 / 1056

页数：8

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