CALDERON PROBLEM FOR MAXWELL'S EQUATIONS IN CYLINDRICAL DOMAIN

被引：1

作者：

Imanuvilov, Oleg Yu. ^{[1
]}

Yamamoto, Masahiro ^{[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：

INVERSE PROBLEMS AND IMAGING | 2014年 / 8卷 / 04期

关键词：

Calderon problem; complex geometric optics solutions; Carleman estimate; inverse problem; Maxwell's equations; BOUNDARY-VALUE PROBLEM; GLOBAL UNIQUENESS; LOCAL DATA;

D O I：

10.3934/ipi.2014.8.1117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some uniqueness results in determination of the conductivity, the permeability and the permittivity of Maxwell's equations in a cylindrical domain Omega x (0, L) from partial boundary map. More specifically, for an arbitrarily given subboundary Gamma(0) subset of partial derivative Omega, we prove that the coefficients of Maxwell's equations can be uniquely determined in the subdomain (Omega\ [the convex hull of Gamma(0)]) x (0, L) by the boundary map only for inputs vanishing on Gamma(0) x (0, L).

引用

页码：1117 / 1137

页数：21

共 50 条

[21] An approach to solving Maxwell's equations in time domain
Yang, Hongli
Zeng, Xianyang
Wu, Xinyuan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 518 (01)
[22] Regularization of the solution of the Cauchy problem for the system of Maxwell equations in an unbounded domain
Sattorov, E. N.
MATHEMATICAL NOTES, 2009, 86 (3-4) : 422 - 431
[23] Regularization of the solution of the Cauchy problem for the system of Maxwell equations in an unbounded domain
É. N. Sattorov
Mathematical Notes, 2009, 86
[24] Solutions of the cylindrical nonlinear Maxwell equations
Xiong, Hao
Si, Liu-Gang
Ding, Chunling
Lu, Xin-You
Yang, Xiaoxue
Wu, Ying
PHYSICAL REVIEW E, 2012, 85 (01):
[25] The Calderon problem for quasilinear elliptic equations
Munoz, Claudio
Uhlmann, Gunther
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2020, 37 (05): : 1143 - 1166
[26] An Inverse Problem for Maxwell’s Equations in Anisotropic Media
Masahiro YAMAMOTO
Chinese Annals of Mathematics, 2007, (01) : 35 - 54
[27] An inverse source problem for Maxwell's equations in magnetoencephalography
Ammari, H
Bao, G
Fleming, JL
SIAM JOURNAL ON APPLIED MATHEMATICS, 2002, 62 (04) : 1369 - 1382
[28] An Inverse Problem for Maxwell's Equations in Anisotropic Media*
Shumin Li
Masahiro Yamamoto
Chinese Annals of Mathematics, Series B, 2007, 28 : 35 - 54
[29] On a singular limit problem for nonlinear Maxwell's equations
Yin, HM
JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 156 (02) : 355 - 375
[30] An inverse problem for Maxwell's equations with Lipschitz parameters
Pichler, Monika
INVERSE PROBLEMS, 2018, 34 (02)

← 1 2 3 4 5 →