Determining nonsmooth first order terms from partial boundary measurements

被引：0

作者：

Knudsen, Kim ^{[1
]}

Salo, Mikko ^{[2
]}

机构：

[1] Aalborg Univ, Dept Math Sci, Aalborg, Denmark

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

来源：

INVERSE PROBLEMS AND IMAGING | 2007年 / 1卷 / 02期

关键词：

inverse problem for magnetic Schrodinger operator with nonsmooth coefficients; Carleman estimate; semiclassical pseudodifferential calculus;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend results of Dos Santos Ferreira-Kenig-Sjostrand-Uhlmann (Comm. Math. Phys., 2007) to less smooth coefficients, and we show that measurements on part of the boundary for the magnetic Schrodinger operator determine uniquely the magnetic field related to a Holder continuous potential. We give a similar result for determining a convection term. The proofs involve Carleman estimates, a smoothing procedure, and an extension of the Nakamura-Uhlmann pseudodifferential conjugation method to logarithmic Carleman weights.

引用

页码：349 / 369

页数：21

共 22 条

[1]

Brown R. M., 2006, Appl. Anal., V85, P735

[2] Recovering a potential from partial Cauchy data [J].