INVERSE BOUNDARY VALUE PROBLEM FOR SCHRODINGER EQUATION IN TWO DIMENSIONS

被引：27

作者：

Imanuvilov, O. Yu. ^{[1
]}

Yamamoto, M. ^{[2
]}

机构：

[1] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

[2] Univ Tokyo, Dept Math Sci, Meguro Ku, Tokyo 153, Japan

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2012年 / 44卷 / 03期

关键词：

inverse boundary value problem; partial Cauchy data; Schrodinger equation; complex geometrical optics solution; CONDUCTIVITY PROBLEM; GLOBAL UNIQUENESS; CALDERON PROBLEM; CAUCHY DATA;

D O I：

10.1137/11083736X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We relax the regularity condition on potentials of the Schrodinger equation in uniqueness results on the inverse boundary value problem which were recently proved in [O. Imanuvilov, G. Uhlmann, and M. Yamamoto, J. Amer. Math. Soc., 23 (2010), pp. 655 691] and [A. Bukhgeim, J. Inverse Ill-Posed Probl., 16 (2008), pp. 19-34].

引用

页码：1333 / 1339

页数：7

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