Semiclassical pseudodifferential calculus and the reconstruction of a magnetic field

被引：42

作者：

Salo, Mikko ^{[1
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 31卷 / 11期

关键词：

Dirichlet to Neumann map; inverse problems; semiclassical calculus;

D O I：

10.1080/03605300500530420

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a procedure for reconstructing a magnetic field and electric potential from boundary measurements given by the Dirichlet to Neumann map for the magnetic Schrodinger operator in R(n), n >= 3. The magnetic potential is assumed to be continuous with L(infinity) divergence and zero boundary values. The method is based on semiclassical pseudodifferential calculus and the construction of complex geometrical optics solutions in weighted Sobolev spaces.

引用

页码：1639 / 1666

页数：28

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